Bài 2: Số thực. Giá trị tuyệt đối của một số thực
Hướng dẫn Giải Bài 8 (Trang 38, SGK Toán 7, Tập 1, Bộ Chân Trời Sáng Tạo)
<p><strong>B&agrave;i 8 (Trang 38, SGK To&aacute;n 7, Tập 1, Bộ Ch&acirc;n Trời S&aacute;ng Tạo)</strong></p> <p>T&igrave;m gi&aacute; trị của x v&agrave; y biết rằng:&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="|" close="|"><mi>x</mi></mfenced><mo>=</mo><msqrt><mn>5</mn></msqrt><mo>&#160;</mo><mi>v</mi><mi>&#224;</mi><mo>&#160;</mo><mfenced open="|" close="|"><mrow><mi>y</mi><mo>-</mo><mn>2</mn></mrow></mfenced><mo>=</mo><mn>0</mn></math></p> <p><span style="text-decoration: underline;"><em><strong>Hướng dẫn giải:</strong></em></span></p> <p>Ta c&oacute;:&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="|" close="|"><mi>x</mi></mfenced><mo>&#160;</mo><mo>=</mo><msqrt><mn>5</mn></msqrt><mo>&#160;</mo><mi>n</mi><mi>&#234;</mi><mi>n</mi><mo>&#160;</mo><mfenced open="|" close="|"><mi>x</mi></mfenced><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mfenced open="|" close="|"><msqrt><mn>5</mn></msqrt></mfenced><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mfenced open="|" close="|"><mrow><mo>-</mo><msqrt><mn>5</mn></msqrt></mrow></mfenced><mo>.</mo><mspace linebreak="newline"/></math></p> <p>Do đ&oacute;,&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><msqrt><mn>5</mn></msqrt><mo>&#160;</mo><mi>h</mi><mi>o</mi><mi>&#7863;</mi><mi>c</mi><mo>&#160;</mo><mi>x</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>-</mo><msqrt><mn>5</mn></msqrt></math>&nbsp;</p> <p>Vậy&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><msqrt><mn>5</mn></msqrt><mo>&#160;</mo><mi>h</mi><mi>o</mi><mi>&#7863;</mi><mi>c</mi><mo>&#160;</mo><mi>x</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>-</mo><msqrt><mn>5</mn></msqrt></math></p> <p>Ta c&oacute;:&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="|" close="|"><mrow><mi>y</mi><mo>-</mo><mn>2</mn></mrow></mfenced><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>0</mn><mo>&#160;</mo><mi>n</mi><mi>&#234;</mi><mi>n</mi><mo>&#160;</mo><mfenced open="|" close="|"><mrow><mi>y</mi><mo>-</mo><mn>2</mn></mrow></mfenced><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mfenced open="|" close="|"><mn>0</mn></mfenced></math></p> <p>Hay&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>-</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>0</mn><mo>&#160;</mo><mo>&#160;</mo><mi>n</mi><mi>&#234;</mi><mi>n</mi><mo>&#160;</mo><mi>y</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>2</mn></math></p> <p>Vậy y = 2</p>
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