Solve v^26-90004 - ScanMath

Question

Simplify the expression

6 v^{2} - 90004

Evaluate

v^{2} \times 6 - 90004

Solution

6 v^{2} - 90004

Show Solution

2 (3 v^{2} - 45002)

Evaluate

v^{2} \times 6 - 90004

Use the commutative property to reorder the terms

6 v^{2} - 90004

Solution

2 (3 v^{2} - 45002)

Show Solution

v_{1} = - \frac{135006}{3}, v_{2} = \frac{135006}{3}

Alternative Form

v_{1} \approx - 122.477209, v_{2} \approx 122.477209

Evaluate

v^{2} \times 6 - 90004

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

v^{2} \times 6 - 90004 = 0

Use the commutative property to reorder the terms

6 v^{2} - 90004 = 0

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

6 v^{2} = 0 + 90004

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

6 v^{2} = 90004

Divide both sides

\frac{6 v ^{2}}{6} = \frac{90004}{6}

Divide the numbers

v^{2} = \frac{90004}{6}

Cancel out the common factor 2

v^{2} = \frac{45002}{3}

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

v = \pm \frac{45002}{3}

Simplify the expression

More Steps

Evaluate

\frac{45002}{3}

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

\frac{45002}{3}

Multiply by the Conjugate

\frac{45002 \times 3}{3 \times 3}

Multiply the numbers

More Steps

Evaluate

45002 \times 3

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

45002 \times 3

Calculate the product

135006

\frac{135006}{3 \times 3}

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

\frac{135006}{3}

v = \pm \frac{135006}{3}

Separate the equation into 2 possible cases

v = \frac{135006}{3} v = - \frac{135006}{3}

Solution

v_{1} = - \frac{135006}{3}, v_{2} = \frac{135006}{3}

Alternative Form

v_{1} \approx - 122.477209, v_{2} \approx 122.477209

Show Solution