Solve 4v^210-8 - ScanMath

Question

Simplify the expression

40 v^{2} - 8

Evaluate

4 v^{2} \times 10 - 8

Solution

40 v^{2} - 8

Show Solution

8 (5 v^{2} - 1)

Evaluate

4 v^{2} \times 10 - 8

Multiply the terms

40 v^{2} - 8

Solution

8 (5 v^{2} - 1)

Show Solution

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

Alternative Form

v_{1} \approx - 0.447214, v_{2} \approx 0.447214

Evaluate

4 v^{2} \times 10 - 8

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

4 v^{2} \times 10 - 8 = 0

Multiply the terms

40 v^{2} - 8 = 0

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

40 v^{2} = 0 + 8

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

40 v^{2} = 8

Divide both sides

\frac{40 v ^{2}}{40} = \frac{8}{40}

Divide the numbers

v^{2} = \frac{8}{40}

Cancel out the common factor 8

v^{2} = \frac{1}{5}

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

v = \pm \frac{1}{5}

Simplify the expression

More Steps

Evaluate

\frac{1}{5}

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

\frac{1}{5}

Simplify the radical expression

\frac{1}{5}

Multiply by the Conjugate

\frac{5}{5 \times 5}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{5}{5}

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

Separate the equation into 2 possible cases

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

Solution

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

Alternative Form

v_{1} \approx - 0.447214, v_{2} \approx 0.447214

Show Solution