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受欢迎的代数 >

(x+9)(x+4)=-26

解答

(x + 9) (x + 4) = - 26

解答

x = - \frac{13}{2} + i \frac{79}{2}, x = - \frac{13}{2} - i \frac{79}{2}

求解步骤

(x + 9) (x + 4) = - 26

展开

(x + 9) (x + 4) : x^{2} + 13 x + 36

x^{2} + 13 x + 36 = - 26

将

26

para o lado esquerdo

x^{2} + 13 x + 62 = 0

使用求根公式求解

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 \cdot 1 \cdot 62}{2 \cdot 1}

化简

1 3^{2} - 4 \cdot 1 \cdot 62 : 79 i

x_{1, 2} = \frac{- 13 \pm 79 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 13 + 79 i}{2 \cdot 1}, x_{2} = \frac{- 13 - 79 i}{2 \cdot 1}

x = \frac{- 13 + 79 i}{2 \cdot 1} : - \frac{13}{2} + i \frac{79}{2}

x = \frac{- 13 - 79 i}{2 \cdot 1} : - \frac{13}{2} - i \frac{79}{2}

二次方程组的解是:

x = - \frac{13}{2} + i \frac{79}{2}, x = - \frac{13}{2} - i \frac{79}{2}

作图

流行的例子

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