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受欢迎的代数 >

x^2+4ax=-3a^2

解答

x^{2} + 4 a x = - 3 a^{2}

解答

x = - a, x = - 3 a

求解步骤

x^{2} + 4 a x = - 3 a^{2}

将

3 a^{2}

para o lado esquerdo

x^{2} + 4 a x + 3 a^{2} = 0

使用求根公式求解

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

化简

(4 a)^{2} - 4 \cdot 1 \cdot 3 a^{2} : 2 a

x_{1, 2} = \frac{- 4 a \pm 2 a}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 4 a + 2 a}{2 \cdot 1}, x_{2} = \frac{- 4 a - 2 a}{2 \cdot 1}

x = \frac{- 4 a + 2 a}{2 \cdot 1} : - a

x = \frac{- 4 a - 2 a}{2 \cdot 1} : - 3 a

二次方程组的解是:

x = - a, x = - 3 a

作图

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