SOLUTION: solve a= squareroot of 1+a^2 over b^2 for b.

Algebra ->  Radicals -> SOLUTION: solve a= squareroot of 1+a^2 over b^2 for b.      Log On


   

Question 199278: solve a= squareroot of 1+a^2 over b^2 for b.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that the given equation is a=sqrt%28%281%2Ba%5E2%29%2F%28b%5E2%29%29.


a=sqrt%28%281%2Ba%5E2%29%2F%28b%5E2%29%29 Start with the given equation.


a%5E2=%281%2Ba%5E2%29%2F%28b%5E2%29 Square both sides


a%5E2b%5E2=1%2Ba%5E2 Multiply both sides by b%5E2.


b%5E2=%281%2Ba%5E2%29%2F%28a%5E2%29 Divide both sides by a%5E2.


b=%22%22%2B-sqrt%28%281%2Ba%5E2%29%2F%28a%5E2%29%29 Take the square root of both sides


So the solutions are b=sqrt%28%281%2Ba%5E2%29%2F%28a%5E2%29%29 or b=-sqrt%28%281%2Ba%5E2%29%2F%28a%5E2%29%29