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受欢迎的代数 >

(2a+1)(a-1)=(3a-2)(2a-4)

解答

(2 a + 1) (a - 1) = (3 a - 2) (2 a - 4)

解答

a = \frac{3}{4}, a = 3

+1

十进制

a = 0.75, a = 3

求解步骤

(2 a + 1) (a - 1) = (3 a - 2) (2 a - 4)

展开

(2 a + 1) (a - 1) : 2 a^{2} - a - 1

展开

(3 a - 2) (2 a - 4) : 6 a^{2} - 16 a + 8

2 a^{2} - a - 1 = 6 a^{2} - 16 a + 8

将

8

para o lado esquerdo

2 a^{2} - a - 9 = 6 a^{2} - 16 a

将

16 a

para o lado esquerdo

2 a^{2} + 15 a - 9 = 6 a^{2}

将

6 a^{2}

para o lado esquerdo

- 4 a^{2} + 15 a - 9 = 0

使用求根公式求解

a_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 ( - 4 ) ( - 9 )}{2 ( - 4 )}

1 5^{2} - 4 (- 4) (- 9) = 9

a_{1, 2} = \frac{- 15 \pm 9}{2 ( - 4 )}

将解分隔开

a_{1} = \frac{- 15 + 9}{2 ( - 4 )}, a_{2} = \frac{- 15 - 9}{2 ( - 4 )}

a = \frac{- 15 + 9}{2 ( - 4 )} : \frac{3}{4}

a = \frac{- 15 - 9}{2 ( - 4 )} : 3

二次方程组的解是:

a = \frac{3}{4}, a = 3

作图

流行的例子

- 2 x^{2} + 4 x + 11 = 0

completesquare p^2+14p-38

co m pl e t es q u a re p^{2} + 14 p - 38

x^{2} - 10 x - 11 = - 28

9 x^{2} - 60 x + 60 = 0

2 x^{2} - \frac{1}{2} x + 5 = 0