Use the completing the square method to find the roots of 4x2 + 28x = 32. a) 8, 1 b) 8, -1 c) -8, 1 d) -8, -1

First ensure that the x^2 term has a coefficient of 1 by dividing every term by 4:
x^2 + 7x = 8
Then find the value of (b/2)^2 which is 12.25 or 49/4 (7/2)^2
Then add 49/4 to both sides:
x^2 + 7x + 49/4 = 81/4
Then factor the equation into:
(x + 7/2)^2 = 81/4 
Apply the square root property:
+- (x + 7/2) = 9/2 
Solve for x:
x - 7/2 = 9/2 for one root
x = 16/2 
x + 7/2 = 9/2 for the other root
x = 2/2
So, roots are 8 and 1. Hope this helps! 

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