SOLUTION: solve using the quadratic formula. show work for credit. Please help me solve. 4x^2 =4x + 10

Algebra ->  Equations -> SOLUTION: solve using the quadratic formula. show work for credit. Please help me solve. 4x^2 =4x + 10      Log On


   

Question 51343: solve using the quadratic formula. show work for credit.
Please help me solve.
4x^2 =4x + 10
Answer by darq(90) About Me  (Show Source):
You can put this solution on YOUR website!
4x^2 =4x + 10
x^2-x-(2.5) = 0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A1%2A%28-2.5%29%29%29%2F%282%2A1%29+%29

x+=+%281+%2B-+sqrt%281%2B10%29%29%2F2+
x+=+%281+%2B-+sqrt%2811%29%29%2F2+

two possible answers:
x+=+%281+%2B+sqrt%2811%29%29%2F2+
and
x+=+%281+-+sqrt%2811%29%29%2F2+