Solve 5231/885/507-v^25

Question

Simplify the expression

\frac{5231}{448695} - 5 v^{2}

Show Solution

\frac{1}{448695} (5231 - 2243475 v^{2})

Show Solution

v_{1} = - \frac{308629}{11505}, v_{2} = \frac{308629}{11505}

Alternative Form

v_{1} \approx - 0.048287, v_{2} \approx 0.048287

Evaluate

\frac{5231}{885} \div 507 - v^{2} \times 5

To find the roots of the expression,set the expression equal to 0

\frac{5231}{885} \div 507 - v^{2} \times 5 = 0

Divide the terms

More Steps

\frac{5231}{448695} - v^{2} \times 5 = 0

Use the commutative property to reorder the terms

\frac{5231}{448695} - 5 v^{2} = 0

Move the constant to the right-hand side and change its sign

- 5 v^{2} = 0 - \frac{5231}{448695}

Removing 0 doesn't change the value,so remove it from the expression

- 5 v^{2} = - \frac{5231}{448695}

Change the signs on both sides of the equation

5 v^{2} = \frac{5231}{448695}

Multiply by the reciprocal

5 v^{2} \times \frac{1}{5} = \frac{5231}{448695} \times \frac{1}{5}

Multiply

v^{2} = \frac{5231}{448695} \times \frac{1}{5}

Multiply

More Steps

v^{2} = \frac{5231}{2243475}

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

v = \pm \frac{5231}{2243475}

Simplify the expression

More Steps

v = \pm \frac{308629}{11505}

Separate the equation into 2 possible cases

v = \frac{308629}{11505} v = - \frac{308629}{11505}

Solution

v_{1} = - \frac{308629}{11505}, v_{2} = \frac{308629}{11505}

Alternative Form

v_{1} \approx - 0.048287, v_{2} \approx 0.048287

Show Solution