Bài 3: Phương Trình Đưa Được Về Dạng ax + b = 0
Hướng dẫn giải Bài 12 (Trang 13 SGK Toán Đại số 8, Tập 2)
<p>Giải các phương trình:</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo> </mo><mfrac><mrow><mn>5</mn><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mn>3</mn></mfrac><mo>=</mo><mfrac><mrow><mn>5</mn><mo>-</mo><mn>3</mn><mi>x</mi></mrow><mn>2</mn></mfrac><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo> </mo><mfrac><mrow><mn>10</mn><mi>x</mi><mo>+</mo><mn>3</mn></mrow><mn>12</mn></mfrac><mo>=</mo><mn>1</mn><mo>+</mo><mfrac><mrow><mn>6</mn><mo>+</mo><mn>8</mn><mi>x</mi></mrow><mn>9</mn></mfrac><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo> </mo><mfrac><mrow><mn>7</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mn>6</mn></mfrac><mo>+</mo><mn>2</mn><mi>x</mi><mo>=</mo><mfrac><mrow><mn>16</mn><mo>-</mo><mi>x</mi></mrow><mn>5</mn></mfrac><mspace linebreak="newline"/><mi>d</mi><mo>)</mo><mo> </mo><mn>4</mn><mo>(</mo><mn>0</mn><mo>,</mo><mn>5</mn><mo>-</mo><mn>1</mn><mo>,</mo><mn>5</mn><mi>x</mi><mo>)</mo><mo>=</mo><mo>-</mo><mfrac><mrow><mn>5</mn><mi>x</mi><mo>-</mo><mn>6</mn></mrow><mn>8</mn></mfrac></math></p>
<p><strong>Giải</strong></p>
<p>a) Quy đồng mẫu ta được: <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>(</mo><mn>5</mn><mi>x</mi><mo>-</mo><mn>2</mn><mo>)</mo></mrow><mn>6</mn></mfrac><mo>=</mo><mfrac><mrow><mn>3</mn><mo>(</mo><mn>5</mn><mo>-</mo><mn>3</mn><mi>x</mi><mo>)</mo></mrow><mn>6</mn></mfrac></math></p>
<p>Khử mẫu phương trình thu được, ta có</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>(</mo><mn>5</mn><mi>x</mi><mo>-</mo><mn>2</mn><mo>)</mo><mo>=</mo><mn>3</mn><mo>(</mo><mn>5</mn><mo>-</mo><mn>3</mn><mi>x</mi><mo>)</mo><mo>⇔</mo><mn>10</mn><mi>x</mi><mo>-</mo><mn>4</mn><mo>=</mo><mn>15</mn><mo>-</mo><mn>9</mn><mi>x</mi><mo>⇔</mo><mn>10</mn><mi>x</mi><mo>+</mo><mn>9</mn><mi>x</mi><mo>=</mo><mn>15</mn><mo>+</mo><mn>4</mn><mo>⇔</mo><mi>x</mi><mo>=</mo><mn>1</mn></math></p>
<p>b) Quy đồng mẫu và khử mẫu ta được:</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>(</mo><mn>10</mn><mi>x</mi><mo>+</mo><mn>3</mn><mo>)</mo><mo>=</mo><mn>36</mn><mo>+</mo><mn>4</mn><mo>(</mo><mn>6</mn><mo>+</mo><mn>8</mn><mi>x</mi><mo>)</mo><mo>⇔</mo><mn>30</mn><mi>x</mi><mo>+</mo><mn>9</mn><mo>=</mo><mn>36</mn><mo>+</mo><mn>24</mn><mo>+</mo><mn>32</mn><mi>x</mi><mspace linebreak="newline"/><mo>⇔</mo><mn>30</mn><mi>x</mi><mo>-</mo><mn>32</mn><mi>x</mi><mo>=</mo><mn>60</mn><mo>-</mo><mn>9</mn><mo>⇔</mo><mo>-</mo><mn>2</mn><mi>x</mi><mo>=</mo><mn>51</mn><mo>⇔</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>25</mn><mo>,</mo><mn>5</mn></math></p>
<p>c) Quy đồng mẫu và khử mẫu chung ta được:</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>(</mo><mn>7</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>+</mo><mn>30</mn><mo>.</mo><mn>2</mn><mi>x</mi><mo>=</mo><mn>6</mn><mo>(</mo><mn>16</mn><mo>-</mo><mi>x</mi><mo>)</mo><mo>⇔</mo><mn>35</mn><mi>x</mi><mo>-</mo><mn>5</mn><mo>+</mo><mn>60</mn><mi>x</mi><mo>=</mo><mn>96</mn><mo>-</mo><mn>6</mn><mi>x</mi><mspace linebreak="newline"/><mo>⇔</mo><mn>35</mn><mi>x</mi><mo>+</mo><mn>60</mn><mi>x</mi><mo>+</mo><mn>6</mn><mi>x</mi><mo>=</mo><mn>96</mn><mo>+</mo><mn>5</mn><mspace linebreak="newline"/><mo>⇔</mo><mn>101</mn><mi>x</mi><mo>=</mo><mn>101</mn><mo>⇔</mo><mi>x</mi><mo>=</mo><mn>1</mn></math></p>
<p>d) Quy đồng mẫu và khử mẫu ta có</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn><mo>(</mo><mn>0</mn><mo>,</mo><mn>5</mn><mo>-</mo><mn>1</mn><mo>,</mo><mn>5</mn><mi>x</mi><mo>)</mo><mo>=</mo><mo>-</mo><mo>(</mo><mn>5</mn><mi>x</mi><mo>-</mo><mn>6</mn><mo>)</mo><mo>⇔</mo><mn>6</mn><mo>-</mo><mn>18</mn><mi>x</mi><mo>=</mo><mo>-</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>6</mn><mspace linebreak="newline"/><mo>⇔</mo><mo>-</mo><mn>18</mn><mi>x</mi><mo>+</mo><mn>5</mn><mi>x</mi><mo>=</mo><mn>6</mn><mo>-</mo><mn>6</mn><mo>⇔</mo><mi>x</mi><mo>=</mo><mn>0</mn></math></p>
Hướng dẫn Giải Bài 12 (Trang 13, SGK Toán 8, Tập 2, Phần Đại Số)
GV: 
GV colearn
GV colearn
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<div class="n-content-exercise">Hướng dẫn giải Bài 10 (Trang 12 SGK Toán Đại số 8, Tập 2)</div>
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Xem lời giải
Hướng dẫn giải Bài 11 (Trang 13 SGK Toán Đại số 8, Tập 2)
Xem lời giải
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<div class="n-content-exercise">Hướng dẫn giải Bài 13 (Trang 13 SGK Toán Đại số 8, Tập 2)</div>
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Xem lời giải
Video hướng dẫn giải bài tập
Hướng dẫn Giải Bài 12 (Trang 13, SGK Toán 8, Tập 2, Phần Đại Số)
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