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受欢迎的代数 >

x^2-(a+b)x+a*b=0

解答

x^{2} - (a + b) x + a \cdot b = 0

解答

x = a, x = b

求解步骤

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

使用求根公式求解

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

化简

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

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

将解分隔开

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

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

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

二次方程组的解是:

x = a, x = b

作图

流行的例子

2 x^{2} - 40 x = 0

x (x + 6) + 4 = 0

4 x^{2} + 9 x = - 2

solvefor a,(a-b)(a+b)=b(a-b)

so l v e f or a, (a - b) (a + b) = b (a - b)

solvefor y,-2x^2y+y^2=1

so l v e f or y, - 2 x^{2} y + y^{2} = 1