Solve v^241682-1 - ScanMath

Question

Simplify the expression

41682 v^{2} - 1

Evaluate

v^{2} \times 41682 - 1

Solution

41682 v^{2} - 1

Show Solution

v_{1} = - \frac{41682}{41682}, v_{2} = \frac{41682}{41682}

Alternative Form

v_{1} \approx - 0.004898, v_{2} \approx 0.004898

Evaluate

v^{2} \times 41682 - 1

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

v^{2} \times 41682 - 1 = 0

Use the commutative property to reorder the terms

41682 v^{2} - 1 = 0

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

41682 v^{2} = 0 + 1

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

41682 v^{2} = 1

Divide both sides

\frac{41682 v ^{2}}{41682} = \frac{1}{41682}

Divide the numbers

v^{2} = \frac{1}{41682}

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

v = \pm \frac{1}{41682}

Simplify the expression

More Steps

Evaluate

\frac{1}{41682}

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

\frac{1}{41682}

Simplify the radical expression

\frac{1}{41682}

Multiply by the Conjugate

\frac{41682}{41682 \times 41682}

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

\frac{41682}{41682}

v = \pm \frac{41682}{41682}

Separate the equation into 2 possible cases

v = \frac{41682}{41682} v = - \frac{41682}{41682}

Solution

v_{1} = - \frac{41682}{41682}, v_{2} = \frac{41682}{41682}

Alternative Form

v_{1} \approx - 0.004898, v_{2} \approx 0.004898

Show Solution