For all values of x , x 2 + 6 x − 2 = ( x + p ) 2 + q Find the value of p and the value of q .

p = 3 and q = 7

Step-by-step explanation:

Given the equation x^2 + 6 x − 2 = ( x + p )^2 + q we are to find the value of p and the value of q .

x^2 + 6 x − 2 = ( x + p )^2 + q

Using the completing the square method on x^2 + 6 x − 2

x^2 + 6 x − 2

= x^2+6x+ 9 - 2 + 9

= (x^2+3x+3x+9)+7

= x(x+3)+3(x+3) + 7

= (x+3)(x+3)+7

= (x+3)^2+7

Compare to the right hand side

(x+3)^2+7 =  ( x + p )^2 + q

p = 3 and q = 7

answer is

c) 4

step-by-step explanation:

the 3rd on is correct

step-by-step explanation: