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受欢迎的代数 >

completesquare x^2+x-6

解答

配方

x^{2} + x - 6

解答

(x + \frac{1}{2})^{2} - \frac{25}{4}

求解步骤

x^{2} + x - 6

将

x^{2} + x - 6

改写为如下形式:

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

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

加和减

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

x^{2} + x - 6 + (\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}

(x + \frac{1}{2})^{2} - 6 - (\frac{1}{2})^{2}

化简

(x + \frac{1}{2})^{2} - \frac{25}{4}

作图

流行的例子

x^{2} + 2 = 102

(x-3)^2-1=-3x+6

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

15 + 4 x - 2 x^{2} = 0

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

x^{2} + x^{2} = 72