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受欢迎的代数 >

(x+2)2-x^2=60

解答

(x + 2) 2 - x^{2} = 60

解答

x = 1 - 55 i, x = 1 + 55 i

求解步骤

(x + 2) \cdot 2 - x^{2} = 60

展开

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

2 x + 4 - x^{2} = 60

将

60

para o lado esquerdo

- x^{2} + 2 x - 56 = 0

使用求根公式求解

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 ( - 1 ) ( - 56 )}{2 ( - 1 )}

化简

2^{2} - 4 (- 1) (- 56) : 255 i

x_{1, 2} = \frac{- 2 \pm 2 55 i}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 2 + 2 55 i}{2 ( - 1 )}, x_{2} = \frac{- 2 - 2 55 i}{2 ( - 1 )}

x = \frac{- 2 + 2 55 i}{2 ( - 1 )} : 1 - 55 i

x = \frac{- 2 - 2 55 i}{2 ( - 1 )} : 1 + 55 i

二次方程组的解是:

x = 1 - 55 i, x = 1 + 55 i

作图

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