Solve 25-605v^2 - ScanMath

Question

Factor the expression

5 (5 - 121 v^{2})

Evaluate

25 - 605 v^{2}

Solution

5 (5 - 121 v^{2})

Show Solution

v_{1} = - \frac{5}{11}, v_{2} = \frac{5}{11}

Alternative Form

v_{1} \approx - 0.203279, v_{2} \approx 0.203279

Evaluate

25 - 605 v^{2}

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

25 - 605 v^{2} = 0

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

- 605 v^{2} = 0 - 25

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

- 605 v^{2} = - 25

Change the signs on both sides of the equation

605 v^{2} = 25

Divide both sides

\frac{605 v ^{2}}{605} = \frac{25}{605}

Divide the numbers

v^{2} = \frac{25}{605}

Cancel out the common factor 5

v^{2} = \frac{5}{121}

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

v = \pm \frac{5}{121}

Simplify the expression

More Steps

Evaluate

\frac{5}{121}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{5}{121}

Simplify the radical expression

More Steps

Evaluate

121

Write the number in exponential form with the base of 11

1 1^{2}

Reduce the index of the radical and exponent with 2

11

\frac{5}{11}

v = \pm \frac{5}{11}

Separate the equation into 2 possible cases

v = \frac{5}{11} v = - \frac{5}{11}

Solution

v_{1} = - \frac{5}{11}, v_{2} = \frac{5}{11}

Alternative Form

v_{1} \approx - 0.203279, v_{2} \approx 0.203279

Show Solution