While working on some physics exercises today, I got stuck on an algebra problem. A simplified version would look something like this:
$\displaystyle x^2+x\sqrt(x^2-10)=5$
Anyone have a neat little trick for this type of problem?
While working on some physics exercises today, I got stuck on an algebra problem. A simplified version would look something like this:
$\displaystyle x^2+x\sqrt(x^2-10)=5$
Anyone have a neat little trick for this type of problem?
Subtract [tex]x^2[tex] from both sides to give $\displaystyle x\sqrt{x^2-10} = 5-x^2$
You can now square both sides but check for extraneous solutions by subbing back into your equation. Also note that $\displaystyle x^2-10 \geq 0$
off topic: Liking the sig Ithaka