# Solving a 6th degree equation

1. Apr 4, 2015

### Mr Davis 97

I have the equation $2t^{6} + 13t^{4} - 36 = 0$. How can I solve this for the real roots without using a CAS? That is, by hand?

2. Apr 4, 2015

### micromass

First substitute $u=t^2$. Then apply the rational root theorem.

3. Apr 4, 2015

4. Apr 4, 2015