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受欢迎的代数 >

completesquare 2x^2+2x-1

解答

配方

2 x^{2} + 2 x - 1

解答

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

求解步骤

2 x^{2} + 2 x - 1

将

2 x^{2} + 2 x - 1

改写为如下形式:

x^{2} + 2 a x + a^{2}

因式分解

2

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

2 a = 1 : a = \frac{1}{2}

加和减

(\frac{1}{2})^{2}

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

x^{2} + 2 a x + a^{2} = (x + a)^{2}

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

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

化简

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

作图

流行的例子

- 2 x^{2} - 6 x - 7 = 0

10x^2-6x-18=x^2-6x

10 x^{2} - 6 x - 18 = x^{2} - 6 x

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

pi=-50+32q-4q^2

π = - 50 + 32 q - 4 q^{2}

1/3 (x+4)^2-1=5

\frac{1}{3} (x + 4)^{2} - 1 = 5