Solve x^2/a^2 y^2/b^2 = 1

Evaluate

\frac{x ^{2}}{a ^{2}} \times \frac{y ^{2}}{b ^{2}} = 1

Multiply the terms

\frac{x ^{2} y ^{2}}{a ^{2} b ^{2}} = 1

Rewrite the expression

\frac{y ^{2} x ^{2}}{a ^{2} b ^{2}} = 1

Cross multiply

y^{2} x^{2} = a^{2} b^{2}

Divide both sides

\frac{y ^{2} x ^{2}}{y ^{2}} = \frac{a ^{2} b ^{2}}{y ^{2}}

Divide the numbers

x^{2} = \frac{a ^{2} b ^{2}}{y ^{2}}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{a ^{2} b ^{2}}{y ^{2}}

Simplify the expression

More Steps

x = \pm \frac{∣ ab ∣}{∣ y ∣}

Remove the absolute value bars

x = \pm \frac{ab}{∣ y ∣}

Solution

x = \frac{ab}{∣ y ∣} x = - \frac{ab}{∣ y ∣}

Solve the equation