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受欢迎的代数 >

(x-1)^2-8x-8-9=0

解答

(x - 1)^{2} - 8 x - 8 - 9 = 0

解答

x = 5 + 41, x = 5 - 41

+1

十进制

x = 11.40312 \dots, x = - 1.40312 \dots

求解步骤

(x - 1)^{2} - 8 x - 8 - 9 = 0

展开

(x - 1)^{2} - 8 x - 8 - 9 : x^{2} - 10 x - 16

x^{2} - 10 x - 16 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot ( - 16 )}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot (- 16) = 241

x_{1, 2} = \frac{- ( - 10 ) \pm 2 41}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 10 ) + 2 41}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 2 41}{2 \cdot 1}

x = \frac{- ( - 10 ) + 2 41}{2 \cdot 1} : 5 + 41

x = \frac{- ( - 10 ) - 2 41}{2 \cdot 1} : 5 - 41

二次方程组的解是:

x = 5 + 41, x = 5 - 41

作图

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