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受欢迎的代数 >

completesquare 4x^2-24x+13

解答

配方

4 x^{2} - 24 x + 13

解答

4 (x - 3)^{2} - 23

求解步骤

4 x^{2} - 24 x + 13

将

4 x^{2} - 24 x + 13

改写为如下形式:

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

因式分解

4

4 (x^{2} - 6 x + \frac{13}{4})

2 a = - 6 : a = - 3

加和减

(- 3)^{2}

4 (x^{2} - 6 x + \frac{13}{4} + (- 3)^{2} - (- 3)^{2})

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

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

4 ((x - 3)^{2} + \frac{13}{4} - (- 3)^{2})

化简

4 (x - 3)^{2} - 23

作图

流行的例子

x^{2} - 3 x + 11 = 9

solvefor x,x^2-y^2+4x+6y-5=0

so l v e f or x, x^{2} - y^{2} + 4 x + 6 y - 5 = 0

[(a-1)x+2a-1]x+3ax=2a-3

[(a - 1) x + 2 a - 1] x + 3 a x = 2 a - 3

2 x^{2} + 2 x - 5 = x^{2}

solvefor x,z=1-x^2

so l v e f or x, z = 1 - x^{2}