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受欢迎的代数 >

(2x+5)(x-1)=12x

解答

(2 x + 5) (x - 1) = 12 x

解答

x = 5, x = - \frac{1}{2}

+1

十进制

x = 5, x = - 0.5

求解步骤

(2 x + 5) (x - 1) = 12 x

展开

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

2 x^{2} + 3 x - 5 = 12 x

将

12 x

para o lado esquerdo

2 x^{2} - 9 x - 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 2 ( - 5 )}{2 \cdot 2}

(- 9)^{2} - 4 \cdot 2 (- 5) = 11

x_{1, 2} = \frac{- ( - 9 ) \pm 11}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 9 ) + 11}{2 \cdot 2}, x_{2} = \frac{- ( - 9 ) - 11}{2 \cdot 2}

x = \frac{- ( - 9 ) + 11}{2 \cdot 2} : 5

x = \frac{- ( - 9 ) - 11}{2 \cdot 2} : - \frac{1}{2}

二次方程组的解是:

x = 5, x = - \frac{1}{2}

作图

流行的例子

x^{2} - 4 x - 41 = 4

5 - x^{2} = 3 - x

solvefor a,h^2=a^2+b^2

so l v e f or a, h^{2} = a^{2} + b^{2}

(x + 5) (x - 2) = 60

6 x^{2} + 4 x + 1 = 9 x