Solve z^2(p^2 q^2)=x^2 y^2

Evaluate

z^{2} p^{2} q^{2} = x^{2} y^{2}

Rewrite the expression

z^{2} p^{2} q^{2} = y^{2} x^{2}

Swap the sides of the equation

y^{2} x^{2} = z^{2} p^{2} q^{2}

Divide both sides

\frac{y ^{2} x ^{2}}{y ^{2}} = \frac{z ^{2} p ^{2} q ^{2}}{y ^{2}}

Divide the numbers

x^{2} = \frac{z ^{2} p ^{2} q ^{2}}{y ^{2}}

Divide the numbers

x^{2} = \frac{p ^{2} z ^{2} q ^{2}}{y ^{2}}

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

x = \pm \frac{p ^{2} z ^{2} q ^{2}}{y ^{2}}

Simplify the expression

More Steps

x = \pm \frac{∣ p z q ∣}{∣ y ∣}

Remove the absolute value bars

x = \pm \frac{p z q}{∣ y ∣}

Solution

x = \frac{p z q}{∣ y ∣} x = - \frac{p z q}{∣ y ∣}

Solve the equation