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受欢迎的代数 >

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

解答

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

解答

x = - \frac{- 9 + 3 29}{10}, x = \frac{9 + 3 29}{10}

+1

十进制

x = - 0.71554 \dots, x = 2.51554 \dots

求解步骤

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

展开

(x + 3) (3 x - 2) : 3 x^{2} + 7 x - 6

展开

(4 x + 5) (2 x - 3) : 8 x^{2} - 2 x - 15

3 x^{2} + 7 x - 6 = 8 x^{2} - 2 x - 15

将

15

para o lado esquerdo

3 x^{2} + 7 x + 9 = 8 x^{2} - 2 x

将

2 x

para o lado esquerdo

3 x^{2} + 9 x + 9 = 8 x^{2}

将

8 x^{2}

para o lado esquerdo

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

使用求根公式求解

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

9^{2} - 4 (- 5) \cdot 9 = 329

x_{1, 2} = \frac{- 9 \pm 3 29}{2 ( - 5 )}

将解分隔开

x_{1} = \frac{- 9 + 3 29}{2 ( - 5 )}, x_{2} = \frac{- 9 - 3 29}{2 ( - 5 )}

x = \frac{- 9 + 3 29}{2 ( - 5 )} : - \frac{- 9 + 3 29}{10}

x = \frac{- 9 - 3 29}{2 ( - 5 )} : \frac{9 + 3 29}{10}

二次方程组的解是:

x = - \frac{- 9 + 3 29}{10}, x = \frac{9 + 3 29}{10}

作图

流行的例子

(x - 3)^{2} = - 36

化简 2x(4x^2)

s im pl i f y 2 x (4 x^{2})

因式分解 t^4-16

f a c t or t^{4} - 16

\frac{x}{2} + 1 = 7

3 x^{2} = 7 x + 2