SOLUTION: Hi! I'm having some difficulty with the following problem using the quadratic formula and finding the answers to "x." Find all solutions of the equation and express them in t

Algebra ->  Equations -> SOLUTION: Hi! I'm having some difficulty with the following problem using the quadratic formula and finding the answers to "x." Find all solutions of the equation and express them in t      Log On


   

Question 196532: Hi!
I'm having some difficulty with the following problem using the quadratic formula and finding the answers to "x."
Find all solutions of the equation and express them in the form a + bi.
4x^2-8x+7=0
thanks!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
4x%5E2-8x%2B7+=+0 using the quadratic formula:x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
x+=+%28-%28-8%29%2B-sqrt%28%28-8%29%5E2-4%284%29%287%29%29%29%2F2%284%29
x+=+%288%2B-sqrt%2864-112%29%29%2F8
x+=+%288%2B-sqrt%28-48%29%29%2F8
x+=+%288%2B-sqrt%28-3%2A16%29%29%2F8
x+=+%288%2F8%29%2B%284%2F8%29%28sqrt%28-3%29%29orx+=+%288%2F8%29-%284%2F8%29%28sqrt%28-3%29%29 Simplifying:
x+=+1%2B%28sqrt%283%29%2F2%29i or x+=+1-%28sqrt%283%29%2F2%29i