Thread: help with algebra withing calculus problem

Hello i need to solve for x in the this problem to prove the range

y= sqrt((1-x²)/(1+x²))

We are given:



To remove the radical, square both sides:



Now multiply through by :



Arrange with terms involving on the left, and the rest on the right:



Factor the left side:



Can you proceed from here?

Hmmm, im sorry you'll have to excuse my lack of knowledge. I haven't had math courses of any kind for several years. What is the final step you did factoring the left side. How did you completely get rid of one x^2

Oh nvm i got it. So then would you divide out the (1+y^2) and then take the square root of the whole thing?

Yes, exactly!

awesome thanks for the help!