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受欢迎的代数 >

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

解答

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

解答

x = \frac{7}{5}, x = 1

+1

十进制

x = 1.4, x = 1

求解步骤

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

展开

(3 x - 2)^{2} : 9 x^{2} - 12 x + 4

展开

(2 x + 1) (2 x - 1) - 2 : 4 x^{2} - 3

9 x^{2} - 12 x + 4 = 4 x^{2} - 3

将

3

para o lado esquerdo

9 x^{2} - 12 x + 7 = 4 x^{2}

将

4 x^{2}

para o lado esquerdo

5 x^{2} - 12 x + 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 5 \cdot 7}{2 \cdot 5}

(- 12)^{2} - 4 \cdot 5 \cdot 7 = 2

x_{1, 2} = \frac{- ( - 12 ) \pm 2}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- ( - 12 ) + 2}{2 \cdot 5}, x_{2} = \frac{- ( - 12 ) - 2}{2 \cdot 5}

x = \frac{- ( - 12 ) + 2}{2 \cdot 5} : \frac{7}{5}

x = \frac{- ( - 12 ) - 2}{2 \cdot 5} : 1

二次方程组的解是:

x = \frac{7}{5}, x = 1

作图

流行的例子

completesquare 4x^2+3x-4=0

co m pl e t es q u a re 4 x^{2} + 3 x - 4 = 0

x^{2} - 0.5 = 0

6 x^{2} - 37 x - 35 = 0

4 x^{2} - 6 x + 10 = 0

solvefor a,a^2-2ab+b^2=1.40885

so l v e f or a, a^{2} - 2 ab + b^{2} = 1.40885