Solve 4v^220-8 - ScanMath

Question

Simplify the expression

80 v^{2} - 8

Evaluate

4 v^{2} \times 20 - 8

Solution

80 v^{2} - 8

Show Solution

8 (10 v^{2} - 1)

Evaluate

4 v^{2} \times 20 - 8

Multiply the terms

80 v^{2} - 8

Solution

8 (10 v^{2} - 1)

Show Solution

v_{1} = - \frac{10}{10}, v_{2} = \frac{10}{10}

Alternative Form

v_{1} \approx - 0.316228, v_{2} \approx 0.316228

Evaluate

4 v^{2} \times 20 - 8

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

4 v^{2} \times 20 - 8 = 0

Multiply the terms

80 v^{2} - 8 = 0

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

80 v^{2} = 0 + 8

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

80 v^{2} = 8

Divide both sides

\frac{80 v ^{2}}{80} = \frac{8}{80}

Divide the numbers

v^{2} = \frac{8}{80}

Cancel out the common factor 8

v^{2} = \frac{1}{10}

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

v = \pm \frac{1}{10}

Simplify the expression

More Steps

Evaluate

\frac{1}{10}

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

\frac{1}{10}

Simplify the radical expression

\frac{1}{10}

Multiply by the Conjugate

\frac{10}{10 \times 10}

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

\frac{10}{10}

v = \pm \frac{10}{10}

Separate the equation into 2 possible cases

v = \frac{10}{10} v = - \frac{10}{10}

Solution

v_{1} = - \frac{10}{10}, v_{2} = \frac{10}{10}

Alternative Form

v_{1} \approx - 0.316228, v_{2} \approx 0.316228

Show Solution