SOLUTION: Solve by completing the square. 4x^2 + 2x � 3 = 0 Hellllpppp, pleeeeeaaaaase!!!

Question 69254: Solve by completing the square.
4x^2 + 2x � 3 = 0
Hellllpppp, pleeeeeaaaaase!!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Move the -3 to the right side by adding 3 to both sides
Factor out a 4 to get leading coefficient equal to 1
Complete the square by taking half of the x coefficient and squaring it
add that value to both sides (remember the 4 was factored out, so the complete value should be 4/16 or 1/4)
The left side of the equation then becomes 4(x+1/4)^2 (because if it's foiled it becomes again).
Simplify right side

Subtract 13/4 from both sides
Now you can solve for x by first dividing each side by 4
Then take the square root of both sides
(ignore the zero before the plus/minus)
finally subtract 1/4 from each side
remember the square root of a number is both positive and negative
Add numerators over common denominator

So and
or in decimal form x=0.6514 and x=-1.1514
Note: the completed square can be verified if you graph both and together. Set them up in y form (ex ) and they should both be the same graph. Hope this helps.
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