- #1
mathdad
- 1,283
- 1
Determine all of the real number solutions for the radical equation.
sqrt {x^4 - 13x^2 + 37} = 1
Hint given in textbook:
Let x^2 = t and x^4 = t^2
After applying the hint given, do I proceed as usual by squaring both sides?
I have to back-substitute somewhere in the solution steps, right?
Why is it important to always check the answer (s) when dealing with radical equations?
sqrt {x^4 - 13x^2 + 37} = 1
Hint given in textbook:
Let x^2 = t and x^4 = t^2
After applying the hint given, do I proceed as usual by squaring both sides?
I have to back-substitute somewhere in the solution steps, right?
Why is it important to always check the answer (s) when dealing with radical equations?