Question

Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 12x - 5 = 7

Answer 1

x^2 - 12x - 5 = 7
x^2 - 12x = 7 + 5
x^2 - 12x = 12
x^2 - 12x + 36 = 12 + 36
(x - 6)^2 = 48 <====

Answer 2

Answer:

The completing square form of given equation is $(x-6)^2=48$

Step-by-step explanation:

Given: $x^2-12x-5=7$

We need to change given quadratic equation in completing square form.

$(x-p)^2=q$

$x^2-12x-5=7$

First we add 5 both sides

$x^2-12x-5+5=7+5$

Add both sides square of half of coefficient of x

$x^2-12x+36=36+12$

$(x-6)^2=48$

Now we compare the equation to completing square

$(x-p)^2=q\rightarrow (x-6)^2=48$

$p\rightarrow 6$

$q\rightarrow 48$

Hence, The completing square form of given equation is $(x-6)^2=48$