# Precalculus Examples

,

Step 1

Step 1.1

Apply the distributive property.

Step 1.2

Simplify the expression.

Step 1.2.1

Multiply by .

Step 1.2.2

Move to the left of .

Step 2

Subtract from both sides of the equation.

Step 3

Use the quadratic formula to find the solutions.

Step 4

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

Step 5

Step 5.1

Simplify the numerator.

Step 5.1.1

Raise to the power of .

Step 5.1.2

Multiply .

Step 5.1.2.1

Multiply by .

Step 5.1.2.2

Multiply by .

Step 5.1.3

Add and .

Step 5.1.4

Rewrite as .

Step 5.1.4.1

Factor out of .

Step 5.1.4.2

Rewrite as .

Step 5.1.5

Pull terms out from under the radical.

Step 5.2

Multiply by .

Step 5.3

Simplify .

Step 6

Step 6.1

Simplify the numerator.

Step 6.1.1

Raise to the power of .

Step 6.1.2

Multiply .

Step 6.1.2.1

Multiply by .

Step 6.1.2.2

Multiply by .

Step 6.1.3

Add and .

Step 6.1.4

Rewrite as .

Step 6.1.4.1

Factor out of .

Step 6.1.4.2

Rewrite as .

Step 6.1.5

Pull terms out from under the radical.

Step 6.2

Multiply by .

Step 6.3

Simplify .

Step 6.4

Change the to .

Step 7

Step 7.1

Simplify the numerator.

Step 7.1.1

Raise to the power of .

Step 7.1.2

Multiply .

Step 7.1.2.1

Multiply by .

Step 7.1.2.2

Multiply by .

Step 7.1.3

Add and .

Step 7.1.4

Rewrite as .

Step 7.1.4.1

Factor out of .

Step 7.1.4.2

Rewrite as .

Step 7.1.5

Pull terms out from under the radical.

Step 7.2

Multiply by .

Step 7.3

Simplify .

Step 7.4

Change the to .

Step 8

The final answer is the combination of both solutions.

Step 9

Step 9.1

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

is not on the interval

Step 9.2

The interval contains .

Step 10

The result can be shown in multiple forms.

Exact Form:

Decimal Form: