Solve 18 - 50v^2 - ScanMath

Question

Factor the expression

2 (3 - 5 v) (3 + 5 v)

Evaluate

18 - 50 v^{2}

Factor out 2 from the expression

2 (9 - 25 v^{2})

Solution

More Steps

Evaluate

9 - 25 v^{2}

Rewrite the expression in exponential form

3^{2} - (5 v)^{2}

Use a^{2} - b^{2} = (a - b) (a + b) to factor the expression

(3 - 5 v) (3 + 5 v)

2 (3 - 5 v) (3 + 5 v)

Show Solution

v_{1} = - \frac{3}{5}, v_{2} = \frac{3}{5}

Alternative Form

v_{1} = - 0.6, v_{2} = 0.6

Evaluate

18 - 50 v^{2}

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

18 - 50 v^{2} = 0

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

- 50 v^{2} = 0 - 18

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

- 50 v^{2} = - 18

Change the signs on both sides of the equation

50 v^{2} = 18

Divide both sides

\frac{50 v ^{2}}{50} = \frac{18}{50}

Divide the numbers

v^{2} = \frac{18}{50}

Cancel out the common factor 2

v^{2} = \frac{9}{25}

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

v = \pm \frac{9}{25}

Simplify the expression

More Steps

Evaluate

\frac{9}{25}

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

\frac{9}{25}

Simplify the radical expression

More Steps

Evaluate

9

Write the number in exponential form with the base of 3

3^{2}

Reduce the index of the radical and exponent with 2

3

\frac{3}{25}

Simplify the radical expression

More Steps

Evaluate

25

Write the number in exponential form with the base of 5

5^{2}

Reduce the index of the radical and exponent with 2

5

\frac{3}{5}

v = \pm \frac{3}{5}

Separate the equation into 2 possible cases

v = \frac{3}{5} v = - \frac{3}{5}

Solution

v_{1} = - \frac{3}{5}, v_{2} = \frac{3}{5}

Alternative Form

v_{1} = - 0.6, v_{2} = 0.6

Show Solution