(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given that a-b = 5 and ab = 2, what is the value of a^4 + b^4?

2. Relevant equations

3. The attempt at a solution

Doing the math I know that

[tex]a_{1} = \frac{5+\sqrt{33}}{2}[/tex]

[tex]a_{2} = \frac{5-\sqrt{33}}{2}[/tex]

[tex]b_{1} = \frac{-5+\sqrt{33}}{2}[/tex]

[tex]b_{2} = \frac{-5-\sqrt{33}}{2}[/tex]

So my question is: there is any fast way to do [tex]a^{4} + b^{4}[/tex]?

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# Homework Help: Basic algebra question

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