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Removing the variable's exponent
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$\sqrt{y^2}=\pm \sqrt{\frac{x^2-49}{x^2+49}}$
Learn how to solve rational equations problems step by step online. Solve the rational equation y^2=(x^2-49)/(x^2+49). Removing the variable's exponent. Cancel exponents 2 and \frac{1}{2}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. As in the equation we have the sign \pm, this produces two identical equations that differ in the sign of the term \frac{\sqrt{x^2-49}}{\sqrt{x^2+49}}. We write and solve both equations, one taking the positive sign, and the other taking the negative sign.