Solve x^2 a y^2 = r^2

Evaluate

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

Rewrite the expression

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

Divide both sides

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

Divide the numbers

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

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

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

Simplify the expression

More Steps

x = \pm \frac{∣ r ∣ \times a}{∣ y ∣ ∣ a ∣}

Separate the equation into 2 possible cases

x = \frac{∣ r ∣ \times a}{∣ y ∣ ∣ a ∣} x = - \frac{∣ r ∣ \times a}{∣ y ∣ ∣ a ∣}

Multiply the terms

x = \frac{∣ r ∣ \times a}{∣ y a ∣} x = - \frac{∣ r ∣ \times a}{∣ y ∣ ∣ a ∣}

Solution

x = \frac{∣ r ∣ \times a}{∣ y a ∣} x = - \frac{∣ r ∣ \times a}{∣ y a ∣}

Solve the equation