Hướng dẫn giải Bài 25 (Trang 17 SGK Toán Đại số 8, Tập 2)

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class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise">Hướng dẫn giải Bài 25 (Trang 17 SGK Toán Đại số 8, Tập 2)</div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> 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</div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div>

<p>Giải các phương trình:</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo> </mo><mn>2</mn><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>6</mn><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mi>x</mi><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo> </mo><mo>(</mo><mn>3</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>)</mo><mo>=</mo><mo>(</mo><mn>3</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>(</mo><mn>7</mn><mi>x</mi><mo>-</mo><mn>10</mn><mo>)</mo></math></p> <p><strong>Giải</strong></p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo> </mo><mn>2</mn><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>6</mn><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mi>x</mi><mo>⇔</mo><mo>(</mo><mi>x</mi><mo>-</mo><mn>3</mn><mo>)</mo><mo>(</mo><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>)</mo><mo>=</mo><mn>0</mn><mspace linebreak="newline"/><mo>⇔</mo><mi>x</mi><mo>(</mo><mi>x</mi><mo>+</mo><mn>3</mn><mo>)</mo><mo>(</mo><mn>2</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>=</mo><mn>0</mn><mo>⇔</mo><mi>S</mi><mo>=</mo><mfenced open="{" close="}"><mrow><mn>0</mn><mo>;</mo><mo>-</mo><mn>3</mn><mo>;</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></mfenced></math></p> <p>b) <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mn>3</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>)</mo><mo>=</mo><mo>(</mo><mn>3</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>(</mo><mn>7</mn><mi>x</mi><mo>-</mo><mn>10</mn><mo>)</mo><mspace linebreak="newline"/><mo>⇔</mo><mo>(</mo><mn>3</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mfenced open="[" close="]"><mrow><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>)</mo><mo>-</mo><mo>(</mo><mn>7</mn><mi>x</mi><mo>+</mo><mn>10</mn><mo>)</mo></mrow></mfenced><mo>=</mo><mn>0</mn><mspace linebreak="newline"/><mo>⇔</mo><mo>(</mo><mn>3</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>7</mn><mi>x</mi><mo>+</mo><mn>12</mn><mo>)</mo><mo>=</mo><mn>0</mn></math></p> <p>Phân tích <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>7</mn><mi>x</mi><mo>+</mo><mn>10</mn></math> thành nhân tử:</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>7</mn><mi>x</mi><mo>+</mo><mn>10</mn><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mi>x</mi><mo>-</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>10</mn><mo>=</mo><mi>x</mi><mo>(</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>)</mo><mo>-</mo><mn>5</mn><mo>(</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>)</mo><mo>=</mo><mo>(</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>)</mo><mo>(</mo><mi>x</mi><mo>-</mo><mn>5</mn><mo>)</mo></math></p> <p>Vậy <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mn>3</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>)</mo><mo>=</mo><mo>(</mo><mn>3</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>(</mo><mn>7</mn><mi>x</mi><mo>-</mo><mn>10</mn><mo>)</mo><mspace linebreak="newline"/><mo>⇔</mo><mn>3</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>(</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>)</mo><mo>(</mo><mi>x</mi><mo>-</mo><mn>5</mn><mo>)</mo><mo>=</mo><mn>0</mn><mo>⇒</mo><mi>S</mi><mo>=</mo><mfenced open="{" close="}"><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>;</mo><mn>2</mn><mo>;</mo><mn>5</mn></mrow></mfenced></math></p>

Hướng dẫn Giải Bài 25 (Trang 17, SGK Toán 8, Tập 2, Phần Đại Số)

GV:

GV colearn

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Hướng dẫn giải Bài 23 (Trang 17 SGK Toán Đại số 8, Tập 2)

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