(((9-x^2)^1/2) + x^2(9-x^2)^1/2)/9-x^2

Question

I'm having trouble solving the equation and would appreciate a well explained solution so I can learn how to solve them.

Thank you

Answer 1

There is no equation because there’s no equals sign, so it’s just an expression.

Let’s use different brackets to clarify:

{[(9-x^2)^1/2]+x^2(9-x^2)^1/2}/9-x^2 = 

{(9-x^2)^1/2+x^2(9-x^2)^1/2}/9-x^2

(9-x²)^½ is a common factor: let’s write it as √(9-x²):

((1+x²)√(9-x²))/9 — x²