Solve u^2 2 = 3v^2

Evaluate

u^{2} \times 2 = 3 v^{2}

Use the commutative property to reorder the terms

2 u^{2} = 3 v^{2}

Divide both sides

\frac{2 u ^{2}}{2} = \frac{3 v ^{2}}{2}

Divide the numbers

u^{2} = \frac{3 v ^{2}}{2}

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

u = \pm \frac{3 v ^{2}}{2}

Simplify the expression

More Steps

u = \pm \frac{6 \times ∣ v ∣}{2}

Solution

u = \frac{6 \times ∣ v ∣}{2} u = - \frac{6 \times ∣ v ∣}{2}

Solve the equation