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受欢迎的代数 >

(x-3)^2-(2x+1)(2x-1)=5(1-x)+3

解答

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

解答

x = - 1, x = \frac{2}{3}

+1

十进制

x = - 1, x = 0.66666 \dots

求解步骤

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

展开

(x - 3)^{2} - (2 x + 1) (2 x - 1) : - 3 x^{2} - 6 x + 10

展开

5 (1 - x) + 3 : - 5 x + 8

- 3 x^{2} - 6 x + 10 = - 5 x + 8

将

8

para o lado esquerdo

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

将

5 x

para o lado esquerdo

- 3 x^{2} - x + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 ( - 3 ) \cdot 2}{2 ( - 3 )}

(- 1)^{2} - 4 (- 3) \cdot 2 = 5

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

将解分隔开

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

x = \frac{- ( - 1 ) + 5}{2 ( - 3 )} : - 1

x = \frac{- ( - 1 ) - 5}{2 ( - 3 )} : \frac{2}{3}

二次方程组的解是:

x = - 1, x = \frac{2}{3}

作图

流行的例子

3 x^{2} + 13 x = 0

q^{2} - 16 = 0

completesquare-4x^2-48x-20=0

co m pl e t es q u a re - 4 x^{2} - 48 x - 20 = 0

r^{2} + 4 r - 4 = 0

completesquare 4x^2+9

co m pl e t es q u a re 4 x^{2} + 9