Solve (x t)^(2) r^(2)=g^(2)

Evaluate

(x t)^{2} r^{2} = g^{2}

Multiply the terms

x^{2} t^{2} r^{2} = g^{2}

Rewrite the expression

t^{2} r^{2} x^{2} = g^{2}

Divide both sides

\frac{t ^{2} r ^{2} x ^{2}}{t ^{2} r ^{2}} = \frac{g ^{2}}{t ^{2} r ^{2}}

Divide the numbers

x^{2} = \frac{g ^{2}}{t ^{2} r ^{2}}

Divide the numbers

x^{2} = \frac{g ^{2}}{r ^{2} t ^{2}}

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

x = \pm \frac{g ^{2}}{r ^{2} t ^{2}}

Simplify the expression

More Steps

x = \pm \frac{∣ g ∣}{∣ r t ∣}

Remove the absolute value bars

x = \pm \frac{g}{∣ r t ∣}

Solution

x = \frac{g}{∣ r t ∣} x = - \frac{g}{∣ r t ∣}

Solve the equation