QuestionSolve $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ for 'x' with no specific values for 'y', 'a', and 'b'.

Studdy Solution
Finally, we can simplify the expression under the square root by factoring out $a^{2}$.
$$x = \pm a\sqrt{1 + \frac{y^{2}}{b^{2}}}$$So, the solutions for 'x' are $x = a\sqrt{1 + \frac{y^{2}}{b^{2}}}$ and $x = -a\sqrt{1 + \frac{y^{2}}{b^{2}}}$.