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受欢迎的代数 >

x^2+3x=ax+3a

解答

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

解答

x = a, x = - 3

求解步骤

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

两边减去

a x + 3 a

x^{2} + 3 x - (a x + 3 a) = a x + 3 a - (a x + 3 a)

化简

x^{2} + (3 - a) x - 3 a = 0

使用求根公式求解

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

化简

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

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

将解分隔开

x_{1} = \frac{- ( 3 - a ) + a + 3}{2 \cdot 1}, x_{2} = \frac{- ( 3 - a ) - ( a + 3 )}{2 \cdot 1}

x = \frac{- ( 3 - a ) + a + 3}{2 \cdot 1} : a

x = \frac{- ( 3 - a ) - ( a + 3 )}{2 \cdot 1} : - 3

二次方程组的解是:

x = a, x = - 3

作图

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