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受欢迎的代数 >

(3x-5)(x+1)=(5x+1)(x-6)

解答

(3 x - 5) (x + 1) = (5 x + 1) (x - 6)

解答

x = - \frac{- 27 + 737}{4}, x = \frac{27 + 737}{4}

+1

十进制

x = - 0.03693 \dots, x = 13.53693 \dots

求解步骤

(3 x - 5) (x + 1) = (5 x + 1) (x - 6)

展开

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

展开

(5 x + 1) (x - 6) : 5 x^{2} - 29 x - 6

3 x^{2} - 2 x - 5 = 5 x^{2} - 29 x - 6

将

6

para o lado esquerdo

3 x^{2} - 2 x + 1 = 5 x^{2} - 29 x

将

29 x

para o lado esquerdo

3 x^{2} + 27 x + 1 = 5 x^{2}

将

5 x^{2}

para o lado esquerdo

- 2 x^{2} + 27 x + 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- 27 \pm 2 7 ^{2} - 4 ( - 2 ) \cdot 1}{2 ( - 2 )}

2 7^{2} - 4 (- 2) \cdot 1 = 737

x_{1, 2} = \frac{- 27 \pm 737}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- 27 + 737}{2 ( - 2 )}, x_{2} = \frac{- 27 - 737}{2 ( - 2 )}

x = \frac{- 27 + 737}{2 ( - 2 )} : - \frac{- 27 + 737}{4}

x = \frac{- 27 - 737}{2 ( - 2 )} : \frac{27 + 737}{4}

二次方程组的解是:

x = - \frac{- 27 + 737}{4}, x = \frac{27 + 737}{4}

作图

流行的例子

8x+2=4(x^2-3)-(x-2)(x-3)

8 x + 2 = 4 (x^{2} - 3) - (x - 2) (x - 3)

5 x^{2} + 4 x + 2 = 0

completesquare (5y+9)^2=80

co m pl e t es q u a re (5 y + 9)^{2} = 80

2 y^{2} - 8 y = - 5

x^{2} = - 16