Solve x^2 y^2 z^2 =r^2

Evaluate

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

Rewrite the expression

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

Divide both sides

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

Divide the numbers

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

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

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

Simplify the expression

More Steps

x = \pm \frac{∣ r ∣}{∣ yz ∣}

Remove the absolute value bars

x = \pm \frac{r}{∣ yz ∣}

Solution

x = \frac{r}{∣ yz ∣} x = - \frac{r}{∣ yz ∣}

Solve the equation