Solve v^2306-9 - ScanMath

Question

Simplify the expression

306 v^{2} - 9

Evaluate

v^{2} \times 306 - 9

Solution

306 v^{2} - 9

Show Solution

9 (34 v^{2} - 1)

Evaluate

v^{2} \times 306 - 9

Use the commutative property to reorder the terms

306 v^{2} - 9

Solution

9 (34 v^{2} - 1)

Show Solution

v_{1} = - \frac{34}{34}, v_{2} = \frac{34}{34}

Alternative Form

v_{1} \approx - 0.171499, v_{2} \approx 0.171499

Evaluate

v^{2} \times 306 - 9

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

v^{2} \times 306 - 9 = 0

Use the commutative property to reorder the terms

306 v^{2} - 9 = 0

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

306 v^{2} = 0 + 9

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

306 v^{2} = 9

Divide both sides

\frac{306 v ^{2}}{306} = \frac{9}{306}

Divide the numbers

v^{2} = \frac{9}{306}

Cancel out the common factor 9

v^{2} = \frac{1}{34}

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

v = \pm \frac{1}{34}

Simplify the expression

More Steps

Evaluate

\frac{1}{34}

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

\frac{1}{34}

Simplify the radical expression

\frac{1}{34}

Multiply by the Conjugate

\frac{34}{34 \times 34}

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

\frac{34}{34}

v = \pm \frac{34}{34}

Separate the equation into 2 possible cases

v = \frac{34}{34} v = - \frac{34}{34}

Solution

v_{1} = - \frac{34}{34}, v_{2} = \frac{34}{34}

Alternative Form

v_{1} \approx - 0.171499, v_{2} \approx 0.171499

Show Solution