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受欢迎的代数 >

-3/4 x(x-4+2x)-(3-x)=-3x(x-5)+2

解答

- \frac{3}{4} x \cdot (x - 4 + 2 x) - (3 - x) = - 3 x \cdot (x - 5) + 2

解答

x = \frac{2 ( 11 + 2 34 )}{3}, x = \frac{2 ( 11 - 2 34 )}{3}

+1

十进制

x = 15.10793 \dots, x = - 0.44126 \dots

求解步骤

- \frac{3}{4} x (x - 4 + 2 x) - (3 - x) = - 3 x (x - 5) + 2

在两边乘以

4

- 3 x (3 x - 4) - 4 (3 - x) = - 12 x (x - 5) + 8

展开

- 3 x (3 x - 4) - 4 (3 - x) : - 9 x^{2} + 16 x - 12

展开

- 12 x (x - 5) + 8 : - 12 x^{2} + 60 x + 8

- 9 x^{2} + 16 x - 12 = - 12 x^{2} + 60 x + 8

将

8

para o lado esquerdo

- 9 x^{2} + 16 x - 20 = - 12 x^{2} + 60 x

将

60 x

para o lado esquerdo

- 9 x^{2} - 44 x - 20 = - 12 x^{2}

将

12 x^{2}

para o lado esquerdo

3 x^{2} - 44 x - 20 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 44 ) \pm ( - 44 ) ^{2} - 4 \cdot 3 ( - 20 )}{2 \cdot 3}

(- 44)^{2} - 4 \cdot 3 (- 20) = 834

x_{1, 2} = \frac{- ( - 44 ) \pm 8 34}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 44 ) + 8 34}{2 \cdot 3}, x_{2} = \frac{- ( - 44 ) - 8 34}{2 \cdot 3}

x = \frac{- ( - 44 ) + 8 34}{2 \cdot 3} : \frac{2 ( 11 + 2 34 )}{3}

x = \frac{- ( - 44 ) - 8 34}{2 \cdot 3} : \frac{2 ( 11 - 2 34 )}{3}

二次方程组的解是:

x = \frac{2 ( 11 + 2 34 )}{3}, x = \frac{2 ( 11 - 2 34 )}{3}

作图

流行的例子

A = A^{2}

(8 x) (x + 2) = 0

3 x^{2} - 13 x = - 10

solvefor x,x^2=-4py

so l v e f or x, x^{2} = - 4 p y

- 3 y^{2} + 2 y + 8 = 0