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受欢迎的代数 >

(x^2+3x+2)2-8(x^2+3x)=4

解答

(x^{2} + 3 x + 2) 2 - 8 (x^{2} + 3 x) = 4

解答

x = - 3, x = 0

求解步骤

(x^{2} + 3 x + 2) \cdot 2 - 8 (x^{2} + 3 x) = 4

展开

(x^{2} + 3 x + 2) \cdot 2 - 8 (x^{2} + 3 x) : - 6 x^{2} - 18 x + 4

- 6 x^{2} - 18 x + 4 = 4

将

4

para o lado esquerdo

- 6 x^{2} - 18 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 ( - 6 ) \cdot 0}{2 ( - 6 )}

(- 18)^{2} - 4 (- 6) \cdot 0 = 18

x_{1, 2} = \frac{- ( - 18 ) \pm 18}{2 ( - 6 )}

将解分隔开

x_{1} = \frac{- ( - 18 ) + 18}{2 ( - 6 )}, x_{2} = \frac{- ( - 18 ) - 18}{2 ( - 6 )}

x = \frac{- ( - 18 ) + 18}{2 ( - 6 )} : - 3

x = \frac{- ( - 18 ) - 18}{2 ( - 6 )} : 0

二次方程组的解是:

x = - 3, x = 0

作图

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