Solve v^26-21085 - ScanMath

Question

Simplify the expression

6 v^{2} - 21085

Evaluate

v^{2} \times 6 - 21085

Solution

6 v^{2} - 21085

Show Solution

v_{1} = - \frac{126510}{6}, v_{2} = \frac{126510}{6}

Alternative Form

v_{1} \approx - 59.280407, v_{2} \approx 59.280407

Evaluate

v^{2} \times 6 - 21085

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

v^{2} \times 6 - 21085 = 0

Use the commutative property to reorder the terms

6 v^{2} - 21085 = 0

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

6 v^{2} = 0 + 21085

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

6 v^{2} = 21085

Divide both sides

\frac{6 v ^{2}}{6} = \frac{21085}{6}

Divide the numbers

v^{2} = \frac{21085}{6}

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

v = \pm \frac{21085}{6}

Simplify the expression

More Steps

Evaluate

\frac{21085}{6}

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

\frac{21085}{6}

Multiply by the Conjugate

\frac{21085 \times 6}{6 \times 6}

Multiply the numbers

More Steps

Evaluate

21085 \times 6

The product of roots with the same index is equal to the root of the product

21085 \times 6

Calculate the product

126510

\frac{126510}{6 \times 6}

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

\frac{126510}{6}

v = \pm \frac{126510}{6}

Separate the equation into 2 possible cases

v = \frac{126510}{6} v = - \frac{126510}{6}

Solution

v_{1} = - \frac{126510}{6}, v_{2} = \frac{126510}{6}

Alternative Form

v_{1} \approx - 59.280407, v_{2} \approx 59.280407

Show Solution