explain why it has no solution

Question

 explain why x^2 = -2 has no solution

Answer 1

The equation x squared = -2 has no Real solution.

 

When you get to Imaginary numbers (in Algebra II), you can find a solution.

Answer 2

If you square any number, you will always get a positive answer since a negative x a negative = a positive and a positive x a positive = a positive.

 

No number times itself will ever equal -2, so there is no solution.