Solve (v 7)^(2)-12=0

Evaluate

(v \times 7)^{2} - 12 = 0

Simplify

More Steps

49 v^{2} - 12 = 0

Add or subtract both sides

49 v^{2} = 12

Divide both sides

\frac{49 v ^{2}}{49} = \frac{12}{49}

Divide the numbers

v^{2} = \frac{12}{49}

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

v = \pm \frac{12}{49}

Simplify the expression

v = \pm \frac{2 3}{7}

Separate the equation into 2 possible cases

v = \frac{2 3}{7} v = - \frac{2 3}{7}

Solution

v_{1} = - \frac{2 3}{7}, v_{2} = \frac{2 3}{7}

Alternative Form

v_{1} \approx - 0.494872, v_{2} \approx 0.494872

Solve the quadratic equation