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受欢迎的代数 >

(2x-5)(x+2)-(x+2)(3x-1)=0

解答

(2 x - 5) (x + 2) - (x + 2) (3 x - 1) = 0

解答

x = - 4, x = - 2

求解步骤

(2 x - 5) (x + 2) - (x + 2) (3 x - 1) = 0

展开

(2 x - 5) (x + 2) - (x + 2) (3 x - 1) : - x^{2} - 6 x - 8

- x^{2} - 6 x - 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 ( - 1 ) ( - 8 )}{2 ( - 1 )}

(- 6)^{2} - 4 (- 1) (- 8) = 2

x_{1, 2} = \frac{- ( - 6 ) \pm 2}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 6 ) + 2}{2 ( - 1 )}, x_{2} = \frac{- ( - 6 ) - 2}{2 ( - 1 )}

x = \frac{- ( - 6 ) + 2}{2 ( - 1 )} : - 4

x = \frac{- ( - 6 ) - 2}{2 ( - 1 )} : - 2

二次方程组的解是:

x = - 4, x = - 2

作图

流行的例子

3 t^{2} - 40 t + 128 = 0

4x^2+36x+27=7x^2+54x+51

4 x^{2} + 36 x + 27 = 7 x^{2} + 54 x + 51

x^2+4× (-21)=0

x^{2} + 4 \times (- 21) = 0

因式分解 4y^2=-4y-1

f a c t or 4 y^{2} = - 4 y - 1

76 = 3 m^{2} + 10