Question

Complete the square to transform the quadratic equation into the form (x – p)2 = q.

Answer 1

x^2 - 6x  = 14

-6
divided by 2 =
-3
then squared =
9

x^2 - 6x  +9 = 14 +9
(x -3)^2 = 23

answer is B

Source:
http://www.1728.org/quadr2.htm

Answer 2

Answer:  The correct option is (B) $(x-3)^2=23.$

Step-by-step explanation:  We are given to complete the square and transform the following quadratic equation in the form $(x-p)^2=q.$

$x^2-6x-8=6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We have

$x^2-6x-8=6\\\\\Rightarrow x^2-6x=6+8\\\\\Rightarrow x^2-6x=14\\\\\Rightarrow x^2-2\times x\times 3+3^2=14+3^2\\\\\Rightarrow (x-3)^2=14+9\\\\\Rightarrow (x-3)^2=23.$

Thus, the required transformed form of given equation (i) is

$(x-3)^2=23,$

where p = 3  and q = 23.

Option (B) is CORRECT.