How can I solve a polynomial with a constant term equal to zero?

[Niles]

Homework Statement

Hi all.

I have to solve $0=-x^4+x^2+\alpha$, where alpha is a constant. I thought of factorizing it, but this won't work.You guys have any tip for solving this?

Thanks in advance.Niles.

 

[Dick]

If you substitute u=x^2, it turns into a quadratic equation.

 

[Niles]

Ahh, so simple. I hadn't thought of that.

Thanks.