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

Evaluate

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

Rewrite the expression

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

Divide both sides

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

Divide the numbers

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

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

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

Simplify the expression

More Steps

x = \pm \frac{∣ z ∣}{∣ p y q ∣}

Remove the absolute value bars

x = \pm \frac{z}{∣ p y q ∣}

Solution

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

Solve the equation