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受欢迎的代数 >

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

解答

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

解答

x = - \frac{15}{4} - i \frac{47}{4}, x = - \frac{15}{4} + i \frac{47}{4}

求解步骤

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

展开

x - 2 (x + 4)^{2} : - 2 x^{2} - 15 x - 32

2 = - 2 x^{2} - 15 x - 32

交换两边

- 2 x^{2} - 15 x - 32 = 2

将

2

para o lado esquerdo

- 2 x^{2} - 15 x - 34 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 ( - 2 ) ( - 34 )}{2 ( - 2 )}

化简

(- 15)^{2} - 4 (- 2) (- 34) : 47 i

x_{1, 2} = \frac{- ( - 15 ) \pm 47 i}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- ( - 15 ) + 47 i}{2 ( - 2 )}, x_{2} = \frac{- ( - 15 ) - 47 i}{2 ( - 2 )}

x = \frac{- ( - 15 ) + 47 i}{2 ( - 2 )} : - \frac{15}{4} - i \frac{47}{4}

x = \frac{- ( - 15 ) - 47 i}{2 ( - 2 )} : - \frac{15}{4} + i \frac{47}{4}

二次方程组的解是:

x = - \frac{15}{4} - i \frac{47}{4}, x = - \frac{15}{4} + i \frac{47}{4}

作图

流行的例子

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