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受欢迎的代数 >

x^2-10x-9=0

解答

x^{2} - 10 x - 9 = 0

解答

x = 5 + 34, x = 5 - 34

+1

十进制

x = 10.83095 \dots, x = - 0.83095 \dots

求解步骤

x^{2} - 10 x - 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot ( - 9 )}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot (- 9) = 234

x_{1, 2} = \frac{- ( - 10 ) \pm 2 34}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 10 ) + 2 34}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 2 34}{2 \cdot 1}

x = \frac{- ( - 10 ) + 2 34}{2 \cdot 1} : 5 + 34

x = \frac{- ( - 10 ) - 2 34}{2 \cdot 1} : 5 - 34

二次方程组的解是:

x = 5 + 34, x = 5 - 34

作图

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