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受欢迎的代数 >

3(2x+1)^2+2=7

解答

3 (2 x + 1)^{2} + 2 = 7

解答

x = \frac{\frac{5}{3} - 1}{2}, x = \frac{- \frac{5}{3} - 1}{2}

+1

十进制

x = 0.14549 \dots, x = - 1.14549 \dots

求解步骤

3 (2 x + 1)^{2} + 2 = 7

将

2

到右边

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

两边除以

3

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

对于

(g (x))^{2} = f (a)

解为

g (x) = f (a), - f (a)

解

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

解

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

二次方程组的解是:

x = \frac{\frac{5}{3} - 1}{2}, x = \frac{- \frac{5}{3} - 1}{2}

作图

流行的例子

completesquare 3x^2-5x+1

co m pl e t es q u a re 3 x^{2} - 5 x + 1

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

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

x^{2} + 9 x = 27

completesquare 2x^2-10x+9=0

co m pl e t es q u a re 2 x^{2} - 10 x + 9 = 0