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受欢迎的代数 >

2x^2+18=4x

解答

2 x^{2} + 18 = 4 x

解答

x = 1 + 22 i, x = 1 - 22 i

求解步骤

2 x^{2} + 18 = 4 x

将

4 x

para o lado esquerdo

2 x^{2} + 18 - 4 x = 0

改写成标准形式

a x^{2} + b x + c = 0

2 x^{2} - 4 x + 18 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 2 \cdot 18}{2 \cdot 2}

化简

(- 4)^{2} - 4 \cdot 2 \cdot 18 : 82 i

x_{1, 2} = \frac{- ( - 4 ) \pm 8 2 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 8 2 i}{2 \cdot 2}, x_{2} = \frac{- ( - 4 ) - 8 2 i}{2 \cdot 2}

x = \frac{- ( - 4 ) + 8 2 i}{2 \cdot 2} : 1 + 22 i

x = \frac{- ( - 4 ) - 8 2 i}{2 \cdot 2} : 1 - 22 i

二次方程组的解是:

x = 1 + 22 i, x = 1 - 22 i

作图

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