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受欢迎的代数 >

(3x+2)(2x-5)=(4x-1)(5x+6)

解答

(3 x + 2) (2 x - 5) = (4 x - 1) (5 x + 6)

解答

x = - 2, x = - \frac{1}{7}

+1

十进制

x = - 2, x = - 0.14285 \dots

求解步骤

(3 x + 2) (2 x - 5) = (4 x - 1) (5 x + 6)

展开

(3 x + 2) (2 x - 5) : 6 x^{2} - 11 x - 10

展开

(4 x - 1) (5 x + 6) : 20 x^{2} + 19 x - 6

6 x^{2} - 11 x - 10 = 20 x^{2} + 19 x - 6

将

6

para o lado esquerdo

6 x^{2} - 11 x - 4 = 20 x^{2} + 19 x

将

19 x

para o lado esquerdo

6 x^{2} - 30 x - 4 = 20 x^{2}

将

20 x^{2}

para o lado esquerdo

- 14 x^{2} - 30 x - 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 ( - 14 ) ( - 4 )}{2 ( - 14 )}

(- 30)^{2} - 4 (- 14) (- 4) = 26

x_{1, 2} = \frac{- ( - 30 ) \pm 26}{2 ( - 14 )}

将解分隔开

x_{1} = \frac{- ( - 30 ) + 26}{2 ( - 14 )}, x_{2} = \frac{- ( - 30 ) - 26}{2 ( - 14 )}

x = \frac{- ( - 30 ) + 26}{2 ( - 14 )} : - 2

x = \frac{- ( - 30 ) - 26}{2 ( - 14 )} : - \frac{1}{7}

二次方程组的解是:

x = - 2, x = - \frac{1}{7}

作图

流行的例子

x^{2} = - 31

0=-4.8992x^2+2.624x+0.00003

0 = - 4.8992 x^{2} + 2.624 x + 0.00003

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

x^{2} - 44 x + 1681 = 0

2 x^{2} - 3 x = 10