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受欢迎的代数 >

5x^2-10x-8=0

解答

5 x^{2} - 10 x - 8 = 0

解答

x = \frac{5 + 65}{5}, x = \frac{5 - 65}{5}

+1

十进制

x = 2.61245 \dots, x = - 0.61245 \dots

求解步骤

5 x^{2} - 10 x - 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 ( - 8 )}{2 \cdot 5}

(- 10)^{2} - 4 \cdot 5 (- 8) = 265

x_{1, 2} = \frac{- ( - 10 ) \pm 2 65}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- ( - 10 ) + 2 65}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 2 65}{2 \cdot 5}

x = \frac{- ( - 10 ) + 2 65}{2 \cdot 5} : \frac{5 + 65}{5}

x = \frac{- ( - 10 ) - 2 65}{2 \cdot 5} : \frac{5 - 65}{5}

二次方程组的解是:

x = \frac{5 + 65}{5}, x = \frac{5 - 65}{5}

作图

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