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受欢迎的代数 >

a(x+5)=x^2+3x-10

解答

a (x + 5) = x^{2} + 3 x - 10

解答

x = a + 2, x = - 5

求解步骤

a (x + 5) = x^{2} + 3 x - 10

展开

a (x + 5) : a x + 5 a

a x + 5 a = x^{2} + 3 x - 10

交换两边

x^{2} + 3 x - 10 = a x + 5 a

两边减去

a x + 5 a

x^{2} + 3 x - 10 - (a x + 5 a) = a x + 5 a - (a x + 5 a)

化简

x^{2} + (3 - a) x - 10 - 5 a = 0

使用求根公式求解

x_{1, 2} = \frac{- ( 3 - a ) \pm ( 3 - a ) ^{2} - 4 \cdot 1 \cdot ( - 10 - 5 a )}{2 \cdot 1}

化简

(3 - a)^{2} - 4 \cdot 1 \cdot (- 10 - 5 a) : a + 7

x_{1, 2} = \frac{- ( 3 - a ) \pm ( a + 7 )}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( 3 - a ) + a + 7}{2 \cdot 1}, x_{2} = \frac{- ( 3 - a ) - ( a + 7 )}{2 \cdot 1}

x = \frac{- ( 3 - a ) + a + 7}{2 \cdot 1} : a + 2

x = \frac{- ( 3 - a ) - ( a + 7 )}{2 \cdot 1} : - 5

二次方程组的解是:

x = a + 2, x = - 5

作图

流行的例子

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10 x^{2} + 3 x + 3 = 5

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