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受欢迎的代数 >

x^2-0.4x+4.04=0

解答

x^{2} - 0.4 x + 4.04 = 0

解答

x = \frac{1}{5} + 2 i, x = \frac{1}{5} - 2 i

求解步骤

x^{2} - 0.4 x + 4.04 = 0

在两边乘以

100

100 x^{2} - 40 x + 404 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 40 ) \pm ( - 40 ) ^{2} - 4 \cdot 100 \cdot 404}{2 \cdot 100}

化简

(- 40)^{2} - 4 \cdot 100 \cdot 404 : 400 i

x_{1, 2} = \frac{- ( - 40 ) \pm 400 i}{2 \cdot 100}

将解分隔开

x_{1} = \frac{- ( - 40 ) + 400 i}{2 \cdot 100}, x_{2} = \frac{- ( - 40 ) - 400 i}{2 \cdot 100}

x = \frac{- ( - 40 ) + 400 i}{2 \cdot 100} : \frac{1}{5} + 2 i

x = \frac{- ( - 40 ) - 400 i}{2 \cdot 100} : \frac{1}{5} - 2 i

二次方程组的解是:

x = \frac{1}{5} + 2 i, x = \frac{1}{5} - 2 i

作图

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