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受欢迎的代数 >

36z^2+12z+36=0

解答

36 z^{2} + 12 z + 36 = 0

解答

z = - \frac{1}{6} + i \frac{35}{6}, z = - \frac{1}{6} - i \frac{35}{6}

求解步骤

36 z^{2} + 12 z + 36 = 0

使用求根公式求解

z_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 36 \cdot 36}{2 \cdot 36}

化简

1 2^{2} - 4 \cdot 36 \cdot 36 : 1235 i

z_{1, 2} = \frac{- 12 \pm 12 35 i}{2 \cdot 36}

将解分隔开

z_{1} = \frac{- 12 + 12 35 i}{2 \cdot 36}, z_{2} = \frac{- 12 - 12 35 i}{2 \cdot 36}

z = \frac{- 12 + 12 35 i}{2 \cdot 36} : - \frac{1}{6} + i \frac{35}{6}

z = \frac{- 12 - 12 35 i}{2 \cdot 36} : - \frac{1}{6} - i \frac{35}{6}

二次方程组的解是:

z = - \frac{1}{6} + i \frac{35}{6}, z = - \frac{1}{6} - i \frac{35}{6}

作图

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