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受欢迎的代数 >

(4x+3)(x-8)+(x-1)(4x+3)=0

解答

(4 x + 3) (x - 8) + (x - 1) (4 x + 3) = 0

解答

x = \frac{9}{2}, x = - \frac{3}{4}

+1

十进制

x = 4.5, x = - 0.75

求解步骤

(4 x + 3) (x - 8) + (x - 1) (4 x + 3) = 0

展开

(4 x + 3) (x - 8) + (x - 1) (4 x + 3) : 8 x^{2} - 30 x - 27

8 x^{2} - 30 x - 27 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 8 ( - 27 )}{2 \cdot 8}

(- 30)^{2} - 4 \cdot 8 (- 27) = 42

x_{1, 2} = \frac{- ( - 30 ) \pm 42}{2 \cdot 8}

将解分隔开

x_{1} = \frac{- ( - 30 ) + 42}{2 \cdot 8}, x_{2} = \frac{- ( - 30 ) - 42}{2 \cdot 8}

x = \frac{- ( - 30 ) + 42}{2 \cdot 8} : \frac{9}{2}

x = \frac{- ( - 30 ) - 42}{2 \cdot 8} : - \frac{3}{4}

二次方程组的解是:

x = \frac{9}{2}, x = - \frac{3}{4}

作图

流行的例子

2 x^{2} + 3 x = 7 - 5 x

3 x^{2} + 10 x - 4 = - x

(x-8)(2x+10)=(x+2)(x-1)

(x - 8) (2 x + 10) = (x + 2) (x - 1)

k^{2} - 9 k + 11 = 0

686=-0.25q^2+750

686 = - 0.25 q^{2} + 750