completesquare x^2+12x-3

解答

配方

x^{2} + 12 x - 3

(x + 6)^{2} - 39

求解步骤

x^{2} + 12 x - 3

将

x^{2} + 12 x - 3

改写为如下形式:

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

2 a = 12 : a = 6

加和减

6^{2}

x^{2} + 12 x - 3 + 6^{2} - 6^{2}

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

x^{2} + 12 x + 6^{2} = (x + 6)^{2}

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

化简

(x + 6)^{2} - 39

x^{2} - 203 x + 252 = 0

co m pl e t es q u a re x^{2} + 3 x - 18 = 0

co m pl e t es q u a re x^{2} + 12 x + 20

co m pl e t es q u a re x^{2} + 12 x + 13

8 y + 3 y^{2} = 35