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受欢迎的代数 >

(x-2)(-x-2)=20

解答

(x - 2) (- x - 2) = 20

解答

x = - 4 i, x = 4 i

求解步骤

(x - 2) (- x - 2) = 20

展开

(x - 2) (- x - 2) : - x^{2} + 4

- x^{2} + 4 = 20

将

20

para o lado esquerdo

- x^{2} - 16 = 0

使用求根公式求解

x_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 ( - 1 ) ( - 16 )}{2 ( - 1 )}

化简

0^{2} - 4 (- 1) (- 16) : 8 i

x_{1, 2} = \frac{- 0 \pm 8 i}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 0 + 8 i}{2 ( - 1 )}, x_{2} = \frac{- 0 - 8 i}{2 ( - 1 )}

x = \frac{- 0 + 8 i}{2 ( - 1 )} : - 4 i

x = \frac{- 0 - 8 i}{2 ( - 1 )} : 4 i

二次方程组的解是:

x = - 4 i, x = 4 i

作图

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