Learn how to solve equations problems step by step online. Solve the rational equation y^2=(9x^2-6)/(x^2). Removing the variable's exponent. Cancel exponents 2 and 1. As in the equation we have the sign \pm, this produces two identical equations that differ in the sign of the term \sqrt{\frac{9x^2-6}{x^2}}. We write and solve both equations, one taking the positive sign, and the other taking the negative sign. 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}.

Solve the rational equation y^2=(9x^2-6)/(x^2)