<div class="xblock xblock-public_view xblock-public_view-vertical" data-course-id="course-v1:Lingvist+Alg08+2024" data-init="VerticalStudentView" data-runtime-class="LmsRuntime" data-runtime-version="1" data-block-type="vertical" data-usage-id="block-v1:Lingvist+Alg08+2024+type@vertical+block@00a4a6e2da7a4d33a6e642680ce7a2da" data-request-token="ae9eff2adcf511f099d606622c2f70e7" data-graded="False" data-has-score="False"> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:Lingvist+Alg08+2024+type@html+block@d1ba7f80385040a5b0198da7297e7c75"> <div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-course-id="course-v1:Lingvist+Alg08+2024" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1" data-block-type="html" data-usage-id="block-v1:Lingvist+Alg08+2024+type@html+block@d1ba7f80385040a5b0198da7297e7c75" data-request-token="ae9eff2adcf511f099d606622c2f70e7" data-graded="False" data-has-score="False"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "HTMLModule"} </script> <pre><span style="font-family: 'times new roman', times;"><span data-contrast="auto" xml:lang="UK-UA" lang="UK-UA" class="TextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: #000000; white-space-collapse: preserve; font-size: 11pt; line-height: 19.425px; font-variant-ligatures: none !important;"><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">Квадратні рівняння зустрічаються досить часто у повсякденному житті, хоча ми іноді цього не</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">усвідомлюємо. Наприклад, щоб</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">знайти площу поверхні, укладеної</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">плиткою, в кімнаті</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">прямокутної</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">форми, довжина якої втричі більша</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">за її ширину. Відомо, що використа</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">л</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">и 100 плиток розміром 0,4 × 0,4 м.</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">Необхідно розв’язати квадратне рівняння 3х</span></span><span data-contrast="auto" xml:lang="UK-UA" lang="UK-UA" class="TextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: #000000; white-space-collapse: preserve; font-size: 8.5pt; line-height: 19.425px; font-variant-ligatures: none !important;"><span class="NormalTextRun Superscript SCXW264756343 BCX8" data-fontsize="11" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; vertical-align: super;">2</span></span><span data-contrast="auto" xml:lang="UK-UA" lang="UK-UA" class="TextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: #000000; white-space-collapse: preserve; font-size: 11pt; line-height: 19.425px; font-variant-ligatures: none !important;"><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> – 100</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">· (0,4)</span></span><span data-contrast="auto" xml:lang="UK-UA" lang="UK-UA" class="TextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: #000000; white-space-collapse: preserve; font-size: 8.5pt; line-height: 19.425px; font-variant-ligatures: none !important;"><span class="NormalTextRun Superscript SCXW264756343 BCX8" data-fontsize="11" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; vertical-align: super;">2</span></span><span data-contrast="auto" xml:lang="UK-UA" lang="UK-UA" class="TextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: #000000; white-space-collapse: preserve; font-size: 11pt; line-height: 19.425px; font-variant-ligatures: none !important;"><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">.</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">Ще </span><span class="NormalTextRun SpellingErrorV2Themed SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; background-position: 0px 100%; background-repeat: repeat-x; background-image: var(--urlSpellingErrorV2,url('data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSI1IiBoZWlnaHQ9IjQiPjxnIGZpbGw9Im5vbmUiIGZpbGwtcnVsZT0iZXZlbm9kZCI+PHBhdGggc3Ryb2tlPSIjRUIwMDAwIiBkPSJNMCAzYzEuMjUgMCAxLjI1LTIgMi41LTJTMy43NSAzIDUgMyIvPjxwYXRoIGQ9Ik0wIDBoNXY0SDB6Ii8+PC9nPjwvc3ZnPg==')); border-bottom: 1px solid transparent;">одним</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> прикладом є знаходження швидкості, з якою подолали</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">5 км за 2 год. Відомо, що останні 4 км</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">швидкість збільшили на 3 км/год.</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">Для цього слід розв’язати рівняння</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span></span></span><span class="MathEquationContainer BlobObject DragDrop SCXW264756343 BCX8" contenteditable="false" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; display: inline-block; color: #000000; font-family: 'Segoe UI', 'Segoe UI Web', Arial, Verdana, sans-serif; white-space-collapse: preserve; font-size: 11pt; line-height: normal;"><span class="MathSpan SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; display: inline-block; background-color: inherit; text-wrap-mode: nowrap !important;"><span class="MathJax_Preview SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: inherit;"></span></span></span><span style="font-family: 'times new roman', times;"><span data-contrast="auto" xml:lang="UK-UA" lang="UK-UA" class="TextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: #000000; white-space-collapse: preserve; font-size: 11pt; line-height: 19.425px; font-variant-ligatures: none !important;"><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">, </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">яке зводиться до</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">квадратного</span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">2x</span></span><span data-contrast="auto" xml:lang="UK-UA" lang="UK-UA" class="TextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: #000000; white-space-collapse: preserve; font-size: 8.5pt; line-height: 19.425px; font-variant-ligatures: none !important;"><span class="NormalTextRun Superscript SCXW264756343 BCX8" data-fontsize="11" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; vertical-align: super;">2</span></span><span data-contrast="auto" xml:lang="UK-UA" lang="UK-UA" class="TextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: #000000; white-space-collapse: preserve; font-size: 11pt; line-height: 19.425px; font-variant-ligatures: none !important;"> + x – 3 = 0.</span></span></pre> <pre><span data-contrast="auto" xml:lang="UK-UA" lang="UK-UA" class="TextRun SCXW264756343 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: #000000; white-space-collapse: preserve; font-size: 11pt; line-height: 19.425px; font-variant-ligatures: none !important; font-family: 'times new roman', times;"><span class="modal-button-title" style="text-rendering: optimizelegibility; margin: 0px; padding: 0px; border: 0px; outline: 0px; font-variant-ligatures: normal; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-variant-alternates: inherit; font-variant-position: inherit; font-variant-emoji: inherit; font-stretch: inherit; line-height: inherit; font-optical-sizing: inherit; font-size-adjust: inherit; font-kerning: inherit; font-feature-settings: inherit; font-variation-settings: inherit; font-size: 18px; vertical-align: baseline; white-space-collapse: collapse; background-color: #e5e5e5;">У цьому розділі:</span><span style="font-size: 18px; font-variant-ligatures: normal; white-space-collapse: collapse; background-color: #e5e5e5;"> </span></span></pre> <p><span style="font-size: 9.4pt; color: #000000; font-family: 'times new roman', times;">дізнаємось про види квадратних рівнянь; </span></p> <p><span style="font-size: 9.4pt; color: #000000; font-family: 'times new roman', times;">• дізнаємось, як визначати кількість коренів квадратного рівняння;</span></p> <p><span style="font-size: 9.4pt; color: #000000; font-family: 'times new roman', times;">• навчимось розв’язувати квадратні рівняння за допомогою формули дискримінанта, теореми Вієта;</span></p> <p><span style="color: #000000;">• <span style="font-family: 'times new roman', times;">будемо розкладати квадратний тричлен на лінійні множники;</span></span></p> <pre><span style="font-size: 9.4pt; color: #000000;">•<span style="font-family: 'times new roman', times;"> дізнаємось про рівняння, що зводяться </span></span><span style="color: #000000; font-size: 9.4pt; font-family: 'times new roman', times;">до квадратних;</span></pre> <pre><span style="font-family: 'times new roman', times;"><span style="font-size: 9.4pt; color: #000000;">• будемо розв'язувати задачі за допомогою </span><span style="color: #000000; font-size: 9.4pt;">квадратних рівнянь.</span></span></pre> <h3></h3> </div> </div> </div> <script type="text/javascript"> (function (require) { require(['/static/js/dateutil_factory.762fd6ff462b.js?raw'], function () { require(['js/dateutil_factory'], function (DateUtilFactory) { DateUtilFactory.transform('.localized-datetime'); }); }); }).call(this, require || RequireJS.require); </script> <script> function emit_event(message) { parent.postMessage(message, '*'); } </script> </div>