SOLUTION: Hello! I'm having trouble getting the correct answer for this problem with the quadratic formula. Find all solutions of the equation and express them in the form a + bi. x^2

Algebra ->  Equations -> SOLUTION: Hello! I'm having trouble getting the correct answer for this problem with the quadratic formula. Find all solutions of the equation and express them in the form a + bi. x^2      Log On


   

Question 196502: Hello!
I'm having trouble getting the correct answer for this problem with the quadratic formula.
Find all solutions of the equation and express them in the form a + bi.
x^2-5x+7=0
thanks!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x^2 - 5x + 7 = 0
the quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
In this equation: a=1; b=-5; c=7
x+=+%28-%28-5%29+%2B-+sqrt%28-5%5E2+-+4+%2A+1+%2A+7+%29%29%2F%282%2A1%29+
:
x+=+%285+%2B-+sqrt%2825+-+28+%29%29%2F%282%29+
:
x+=+%285+%2B-+sqrt%28-3%29%29%2F%282%29+
extract the square root of -1
x+=+%285+%2B-+i%2Asqrt%283%29%29%2F%282%29+
You can write this:
x+=+5%2F2+%2B+%28sqrt%283%29i%29%2F2+
and
x+=+5%2F2+-+%28sqrt%283%29i%29%2F2+