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受欢迎的代数 >

x^2-12ax+32a^2=0

解答

x^{2} - 12 a x + 32 a^{2} = 0

解答

x = 8 a, x = 4 a

求解步骤

x^{2} - 12 a x + 32 a^{2} = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 12 a ) \pm ( - 12 a ) ^{2} - 4 \cdot 1 \cdot 32 a ^{2}}{2 \cdot 1}

化简

(- 12 a)^{2} - 4 \cdot 1 \cdot 32 a^{2} : 4 a

x_{1, 2} = \frac{- ( - 12 a ) \pm 4 a}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 12 a ) + 4 a}{2 \cdot 1}, x_{2} = \frac{- ( - 12 a ) - 4 a}{2 \cdot 1}

x = \frac{- ( - 12 a ) + 4 a}{2 \cdot 1} : 8 a

x = \frac{- ( - 12 a ) - 4 a}{2 \cdot 1} : 4 a

二次方程组的解是:

x = 8 a, x = 4 a

作图

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