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受欢迎的代数 >

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

解答

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

解答

x = \frac{21 - 321}{2}, x = \frac{21 + 321}{2}

+1

十进制

x = 1.54176 \dots, x = 19.45823 \dots

求解步骤

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

展开

(2 x - 3) (x + 5) : 2 x^{2} + 7 x - 15

展开

(3 x - 5) (x - 3) : 3 x^{2} - 14 x + 15

2 x^{2} + 7 x - 15 = 3 x^{2} - 14 x + 15

将

15

para o lado esquerdo

2 x^{2} + 7 x - 30 = 3 x^{2} - 14 x

将

14 x

para o lado esquerdo

2 x^{2} + 21 x - 30 = 3 x^{2}

将

3 x^{2}

para o lado esquerdo

- x^{2} + 21 x - 30 = 0

使用求根公式求解

x_{1, 2} = \frac{- 21 \pm 2 1 ^{2} - 4 ( - 1 ) ( - 30 )}{2 ( - 1 )}

2 1^{2} - 4 (- 1) (- 30) = 321

x_{1, 2} = \frac{- 21 \pm 321}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 21 + 321}{2 ( - 1 )}, x_{2} = \frac{- 21 - 321}{2 ( - 1 )}

x = \frac{- 21 + 321}{2 ( - 1 )} : \frac{21 - 321}{2}

x = \frac{- 21 - 321}{2 ( - 1 )} : \frac{21 + 321}{2}

二次方程组的解是:

x = \frac{21 - 321}{2}, x = \frac{21 + 321}{2}

作图

流行的例子

x^{2} - 3 x + 41 = x + 12

4 x - x^{2} = 4

7 x^{2} - 24 x - 16 = 0

(x + 3)^{2} - 7 = 0

x^2-2/3 x+1/9 =1

x^{2} - \frac{2}{3} x + \frac{1}{9} = 1