Solve v_(1n1)=v^(2)n^(2)

Evaluate

v = v^{2} n^{2}

Swap the sides of the equation

v^{2} n^{2} = v

Divide both sides

\frac{v ^{2} n ^{2}}{v ^{2}} = \frac{v}{v ^{2}}

Divide the numbers

n^{2} = \frac{v}{v ^{2}}

Divide the numbers

More Steps

n^{2} = \frac{1}{v}

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

n = \pm \frac{1}{v}

Simplify the expression

More Steps

n = \pm \frac{v}{∣ v ∣}

Separate the equation into 2 possible cases

n = \frac{v}{∣ v ∣} n = - \frac{v}{∣ v ∣}

Calculate

{n = - \frac{v}{∣ v ∣} v \neq = 0 {n = \frac{v}{∣ v ∣} v \neq = 0

Solution

n = - \frac{v}{∣ v ∣}, v \neq = 0 n = \frac{v}{∣ v ∣}, v \neq = 0

Solve the equation