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Trigonometry Examples
Step 1
Subtract from both sides of the equation.
Step 2
Step 2.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 2.2
The LCM of one and any expression is the expression.
Step 3
Step 3.1
Multiply each term in by .
Step 3.2
Simplify the left side.
Step 3.2.1
Multiply by by adding the exponents.
Step 3.2.1.1
Move .
Step 3.2.1.2
Multiply by .
Step 3.3
Simplify the right side.
Step 3.3.1
Cancel the common factor of .
Step 3.3.1.1
Move the leading negative in into the numerator.
Step 3.3.1.2
Cancel the common factor.
Step 3.3.1.3
Rewrite the expression.
Step 4
Step 4.1
Add to both sides of the equation.
Step 4.2
Add to both sides of the equation.
Step 4.3
Use the quadratic formula to find the solutions.
Step 4.4
Substitute the values , , and into the quadratic formula and solve for .
Step 4.5
Simplify.
Step 4.5.1
Simplify the numerator.
Step 4.5.1.1
Raise to the power of .
Step 4.5.1.2
Multiply .
Step 4.5.1.2.1
Multiply by .
Step 4.5.1.2.2
Multiply by .
Step 4.5.1.3
Subtract from .
Step 4.5.1.4
Rewrite as .
Step 4.5.1.5
Rewrite as .
Step 4.5.1.6
Rewrite as .
Step 4.5.1.7
Rewrite as .
Step 4.5.1.8
Pull terms out from under the radical, assuming positive real numbers.
Step 4.5.1.9
Move to the left of .
Step 4.5.2
Multiply by .
Step 4.5.3
Simplify .
Step 4.6
The final answer is the combination of both solutions.