Solve for x by completing the square: 4x^2 + 6x - 6 = 0
A. (-3+√33)/4, (-3-√33)/4
B. (3+√33)/4, (3-√33)/4
C. 3, -2
D. 1, 6

Question

Solve for x by completing the square: 4x^2 + 6x - 6 = 0
	A.	(-3+√33)/4, (-3-√33)/4
	B.	(3+√33)/4, (3-√33)/4
	C.	3, -2
	D.	1, 6

anonymous · Answer

C

wolf1728 · Answer

To complete the square: 
Move the "non X" term to the right: 
4x² + 6x = 6 
Divide the equation by the coefficient of X² 
x² + 1.5x = 1.5 
take the coefficient of X which is 1.5 
divide it by 2 making it .75 
square that number .75² = .5625 
then add it to both sides of the equation 
x² + 1.5x + .5625 = 1.5 + .5625 
Take the square root of both sides 
(X + .75) * (x+.75) = sqrt (2.0625) 
(X + .75) * (x+.75) = 1.4361406616 
x = -.75 -1.4361406616 
x= -2.1861406616 

Second Root 
x = -.75 + 1.4361406616 
x = 0.6861406616 

and the answer is A

anonymous · Answer

Thanks I got that from what you wrote out.

wolf1728 · Answer

I just figured it might be worth mentioning.
Anyway, glad to help out.