SOLUTION: Hi, I need some help on solving this problem. I need to solve the quadratic equation by extraction of roots: (2x-3)^2=-25 Thanks!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Hi, I need some help on solving this problem. I need to solve the quadratic equation by extraction of roots: (2x-3)^2=-25 Thanks!      Log On


   

Question 108234: Hi, I need some help on solving this problem. I need to solve the quadratic equation by extraction of roots:
(2x-3)^2=-25
Thanks!
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
%282x-3%29%5E2=-25
sqrt%28%282x-3%29%5E2%29=sqrt%28-25%29
2x-3=sqrt%28-25%29

sqrt%28-25%29 is NOT a real number! So
Let i=sqrt%28-1%29

Thus,
2x-3=sqrt%28-25%29
2x-3=sqrt%28%28-1%29%2A25%29%29
2x-3=sqrt%2825%29+sqrt%28-1%29
2x-3=0+%2B-+5i
2x=3%2B-+5i
x=%283%2B5i%29%2F%282%29

Power up,
HyperBrain!