SOLUTION: For the following equations I am coming up with no real number solutions for either of them. Am I missing something? x^2 = -100 5x^2 = -125

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: For the following equations I am coming up with no real number solutions for either of them. Am I missing something? x^2 = -100 5x^2 = -125      Log On


   

Question 43189: For the following equations I am coming up with no real number solutions for either of them. Am I missing something?
x^2 = -100
5x^2 = -125
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+=+-100
x+=+sqrt%28-100%29 or x+=+-sqrt%28-100%29
x+=+10i or x+=+-10i No number multiplied by itself will give you a negative number, so the solutions are complex. Same with the next problem.
5x%5E2+=+-125
x%5E2+=+-25
x+=+sqrt%28-25%29 and x+=+-sqrt%28-25%29
x+=+5i and x+=+-5i
Hint: i+=+sqrt%28-1%29