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受欢迎的代数 >

3x^2+168=36x

解答

3 x^{2} + 168 = 36 x

解答

x = 6 + 25 i, x = 6 - 25 i

求解步骤

3 x^{2} + 168 = 36 x

将

36 x

para o lado esquerdo

3 x^{2} + 168 - 36 x = 0

改写成标准形式

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

3 x^{2} - 36 x + 168 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 3 \cdot 168}{2 \cdot 3}

化简

(- 36)^{2} - 4 \cdot 3 \cdot 168 : 125 i

x_{1, 2} = \frac{- ( - 36 ) \pm 12 5 i}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 36 ) + 12 5 i}{2 \cdot 3}, x_{2} = \frac{- ( - 36 ) - 12 5 i}{2 \cdot 3}

x = \frac{- ( - 36 ) + 12 5 i}{2 \cdot 3} : 6 + 25 i

x = \frac{- ( - 36 ) - 12 5 i}{2 \cdot 3} : 6 - 25 i

二次方程组的解是:

x = 6 + 25 i, x = 6 - 25 i

作图

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