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受欢迎的代数 >

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

解答

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

解答

x = 0, x = - 2

求解步骤

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

交换两边

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

将

3

到右边

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

两边除以

- 2

(x + 1)^{2} = 1

对于

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

解为

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

解

x + 1 = 1 : x = 0

解

x + 1 = - 1 : x = - 2

二次方程组的解是:

x = 0, x = - 2

作图

流行的例子

2(x+1/2)^2-9/2 =0

2 (x + \frac{1}{2})^{2} - \frac{9}{2} = 0

completesquare 2x^2+7x+3=0

co m pl e t es q u a re 2 x^{2} + 7 x + 3 = 0

x^2-2x+1=-x^2+3x+4

x^{2} - 2 x + 1 = - x^{2} + 3 x + 4

solvefor u,v^2=u^2-2as

so l v e f or u, v^{2} = u^{2} - 2 a s

4 a^{2} + 56 = 20