Final answer to the problem
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- Solve for y
- Solve for x
- Find the derivative
- Solve by implicit differentiation
- Solve for y'
- Find dy/dx
- Derivative
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
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Removing the variable's exponent
Learn how to solve rational equations problems step by step online.
$\sqrt{y^2}=\pm \sqrt{\frac{x^2-49}{x^2+49}}$
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.