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受欢迎的代数 >

4u^2+5u=-180

解答

4 u^{2} + 5 u = - 180

解答

u = - \frac{5}{8} + i \frac{2855}{8}, u = - \frac{5}{8} - i \frac{2855}{8}

求解步骤

4 u^{2} + 5 u = - 180

将

180

para o lado esquerdo

4 u^{2} + 5 u + 180 = 0

使用求根公式求解

u_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 4 \cdot 180}{2 \cdot 4}

化简

5^{2} - 4 \cdot 4 \cdot 180 : 2855 i

u_{1, 2} = \frac{- 5 \pm 2855 i}{2 \cdot 4}

将解分隔开

u_{1} = \frac{- 5 + 2855 i}{2 \cdot 4}, u_{2} = \frac{- 5 - 2855 i}{2 \cdot 4}

u = \frac{- 5 + 2855 i}{2 \cdot 4} : - \frac{5}{8} + i \frac{2855}{8}

u = \frac{- 5 - 2855 i}{2 \cdot 4} : - \frac{5}{8} - i \frac{2855}{8}

二次方程组的解是:

u = - \frac{5}{8} + i \frac{2855}{8}, u = - \frac{5}{8} - i \frac{2855}{8}

作图

流行的例子

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