# Precalculus Examples

,

Apply the distributive property.

Use the power rule to combine exponents.

Add and to get .

Move to the left of the expression .

Multiply by to get .

Move to the left side of the equation by subtracting it from both sides.

Use the quadratic formula to find the solutions.

Substitute the values , , and into the quadratic formula and solve for .

Simplify the numerator.

Raise to the power of to get .

Multiply by to get .

Multiply by to get .

Add and to get .

Rewrite as .

Pull terms out from under the radical.

Simplify the denominator.

Rewrite.

Multiply by to get .

Simplify .

The final answer is the combination of both solutions.

The interval contains . Add it to the final solution.

is on the interval

The interval does not contain . It is not part of the final solution.

is not on the interval

The final solution for within the interval is .