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受欢迎的代数 >

5m^2-7m-11=0

解答

5 m^{2} - 7 m - 11 = 0

解答

m = \frac{7 + 269}{10}, m = \frac{7 - 269}{10}

+1

十进制

m = 2.34012 \dots, m = - 0.94012 \dots

求解步骤

5 m^{2} - 7 m - 11 = 0

使用求根公式求解

m_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 5 ( - 11 )}{2 \cdot 5}

(- 7)^{2} - 4 \cdot 5 (- 11) = 269

m_{1, 2} = \frac{- ( - 7 ) \pm 269}{2 \cdot 5}

将解分隔开

m_{1} = \frac{- ( - 7 ) + 269}{2 \cdot 5}, m_{2} = \frac{- ( - 7 ) - 269}{2 \cdot 5}

m = \frac{- ( - 7 ) + 269}{2 \cdot 5} : \frac{7 + 269}{10}

m = \frac{- ( - 7 ) - 269}{2 \cdot 5} : \frac{7 - 269}{10}

二次方程组的解是:

m = \frac{7 + 269}{10}, m = \frac{7 - 269}{10}

作图

流行的例子

m^{2} + 4 m - 12 = 0

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