SOLUTION: I need help with the following. I can only get so far and then am stuck. I think the fractions are throwing me off. x^2 +5/2x + 25/16 = 11/8. I thought maybe I could solve it by

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I need help with the following. I can only get so far and then am stuck. I think the fractions are throwing me off. x^2 +5/2x + 25/16 = 11/8. I thought maybe I could solve it by      Log On


   

Question 146622: I need help with the following. I can only get so far and then am stuck. I think the fractions are throwing me off.
x^2 +5/2x + 25/16 = 11/8. I thought maybe I could solve it by completing the square, but cant seem to obtain the correct answer that fits back into the equation.
Thanks so much

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First step is always get rid of the denominators.
16 seems to be the largest common denominator.
Multiply both sides by 16.
x%5E2%2B%285%2F2%29x%2B25%2F16=11%2F8
16x%5E2%2B40x%2B25=22
16x%5E2%2B40x%2B3=0
Time to break out the quadratic formula,
x%5B1%2C2%5D=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
x%5B1%2C2%5D=%28-40%2B-sqrt%2840%5E2-4%2816%293%29%29%2F2%2816%29
x%5B1%2C2%5D=%28-40%2B-sqrt%281600-192%29%29%2F32
x%5B1%2C2%5D=%28-40%2B-sqrt%281408%29%29%2F32
x%5B1%2C2%5D=%28-40%2B-37.52%29%2F32
x%5B1%2C2%5D=%28-40%2B-37.52%29%2F32
x%5B1%5D=%28-2.48%29%2F32
x%5B1%5D=-0.078
x%5B2%5D=%28-77.52%29%2F32
x%5B2%5D=2.42