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受欢迎的代数 >

3(2x+5)-6x=(11x-18)(2x-5)

解答

3 (2 x + 5) - 6 x = (11 x - 18) (2 x - 5)

解答

x = 3, x = \frac{25}{22}

+1

十进制

x = 3, x = 1.13636 \dots

求解步骤

3 (2 x + 5) - 6 x = (11 x - 18) (2 x - 5)

展开

3 (2 x + 5) - 6 x : 15

展开

(11 x - 18) (2 x - 5) : 22 x^{2} - 91 x + 90

15 = 22 x^{2} - 91 x + 90

交换两边

22 x^{2} - 91 x + 90 = 15

将

15

para o lado esquerdo

22 x^{2} - 91 x + 75 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 91 ) \pm ( - 91 ) ^{2} - 4 \cdot 22 \cdot 75}{2 \cdot 22}

(- 91)^{2} - 4 \cdot 22 \cdot 75 = 41

x_{1, 2} = \frac{- ( - 91 ) \pm 41}{2 \cdot 22}

将解分隔开

x_{1} = \frac{- ( - 91 ) + 41}{2 \cdot 22}, x_{2} = \frac{- ( - 91 ) - 41}{2 \cdot 22}

x = \frac{- ( - 91 ) + 41}{2 \cdot 22} : 3

x = \frac{- ( - 91 ) - 41}{2 \cdot 22} : \frac{25}{22}

二次方程组的解是:

x = 3, x = \frac{25}{22}

作图

流行的例子

2(6-4x)=x(4-3x)+5(x+4)

2 (6 - 4 x) = x (4 - 3 x) + 5 (x + 4)

2 (x^{2} + 7 x) = 9 x

- 4 x^{2} + 7 x + 3 = 0

completesquare 2x^2-4x-3

co m pl e t es q u a re 2 x^{2} - 4 x - 3

7 x^{2} = 343