Enter a problem...
Trigonometry Examples
Step 1
Step 1.1
Use the quadratic formula to find the solutions.
Step 1.2
Substitute the values , , and into the quadratic formula and solve for .
Step 1.3
Simplify.
Step 1.3.1
Simplify the numerator.
Step 1.3.1.1
Apply the distributive property.
Step 1.3.1.2
Multiply by .
Step 1.3.1.3
Multiply by .
Step 1.3.1.4
Add parentheses.
Step 1.3.1.5
Let . Substitute for all occurrences of .
Step 1.3.1.5.1
Rewrite as .
Step 1.3.1.5.2
Expand using the FOIL Method.
Step 1.3.1.5.2.1
Apply the distributive property.
Step 1.3.1.5.2.2
Apply the distributive property.
Step 1.3.1.5.2.3
Apply the distributive property.
Step 1.3.1.5.3
Simplify and combine like terms.
Step 1.3.1.5.3.1
Simplify each term.
Step 1.3.1.5.3.1.1
Rewrite using the commutative property of multiplication.
Step 1.3.1.5.3.1.2
Multiply by by adding the exponents.
Step 1.3.1.5.3.1.2.1
Move .
Step 1.3.1.5.3.1.2.2
Multiply by .
Step 1.3.1.5.3.1.3
Multiply by .
Step 1.3.1.5.3.1.4
Multiply by .
Step 1.3.1.5.3.1.5
Multiply by .
Step 1.3.1.5.3.1.6
Multiply by .
Step 1.3.1.5.3.2
Subtract from .
Step 1.3.1.6
Factor out of .
Step 1.3.1.6.1
Factor out of .
Step 1.3.1.6.2
Factor out of .
Step 1.3.1.6.3
Factor out of .
Step 1.3.1.6.4
Factor out of .
Step 1.3.1.6.5
Factor out of .
Step 1.3.1.6.6
Factor out of .
Step 1.3.1.6.7
Factor out of .
Step 1.3.1.7
Replace all occurrences of with .
Step 1.3.1.8
Simplify.
Step 1.3.1.8.1
Simplify each term.
Step 1.3.1.8.1.1
Apply the distributive property.
Step 1.3.1.8.1.2
Simplify.
Step 1.3.1.8.1.2.1
Multiply by .
Step 1.3.1.8.1.2.2
Multiply by .
Step 1.3.1.8.1.2.3
Multiply by .
Step 1.3.1.8.1.3
Apply the distributive property.
Step 1.3.1.8.1.4
Simplify.
Step 1.3.1.8.1.4.1
Multiply by .
Step 1.3.1.8.1.4.2
Multiply by .
Step 1.3.1.8.1.4.3
Multiply by .
Step 1.3.1.8.2
Subtract from .
Step 1.3.1.8.3
Add and .
Step 1.3.1.8.4
Add and .
Step 1.3.1.9
Factor out of .
Step 1.3.1.9.1
Factor out of .
Step 1.3.1.9.2
Factor out of .
Step 1.3.1.9.3
Factor out of .
Step 1.3.1.9.4
Factor out of .
Step 1.3.1.9.5
Factor out of .
Step 1.3.1.10
Multiply by .
Step 1.3.1.11
Rewrite as .
Step 1.3.1.11.1
Factor out of .
Step 1.3.1.11.2
Rewrite as .
Step 1.3.1.11.3
Rewrite as .
Step 1.3.1.11.4
Add parentheses.
Step 1.3.1.12
Pull terms out from under the radical.
Step 1.3.1.13
Raise to the power of .
Step 1.3.2
Multiply by .
Step 1.4
Simplify the expression to solve for the portion of the .
Step 1.4.1
Simplify the numerator.
Step 1.4.1.1
Apply the distributive property.
Step 1.4.1.2
Multiply by .
Step 1.4.1.3
Multiply by .
Step 1.4.1.4
Add parentheses.
Step 1.4.1.5
Let . Substitute for all occurrences of .
Step 1.4.1.5.1
Rewrite as .
Step 1.4.1.5.2
Expand using the FOIL Method.
Step 1.4.1.5.2.1
Apply the distributive property.
Step 1.4.1.5.2.2
Apply the distributive property.
Step 1.4.1.5.2.3
Apply the distributive property.
Step 1.4.1.5.3
Simplify and combine like terms.
Step 1.4.1.5.3.1
Simplify each term.
Step 1.4.1.5.3.1.1
Rewrite using the commutative property of multiplication.
Step 1.4.1.5.3.1.2
Multiply by by adding the exponents.
Step 1.4.1.5.3.1.2.1
Move .
Step 1.4.1.5.3.1.2.2
Multiply by .
Step 1.4.1.5.3.1.3
Multiply by .
Step 1.4.1.5.3.1.4
Multiply by .
Step 1.4.1.5.3.1.5
Multiply by .
Step 1.4.1.5.3.1.6
Multiply by .
Step 1.4.1.5.3.2
Subtract from .
Step 1.4.1.6
Factor out of .
Step 1.4.1.6.1
Factor out of .
Step 1.4.1.6.2
Factor out of .
Step 1.4.1.6.3
Factor out of .
Step 1.4.1.6.4
Factor out of .
Step 1.4.1.6.5
Factor out of .
Step 1.4.1.6.6
Factor out of .
Step 1.4.1.6.7
Factor out of .
Step 1.4.1.7
Replace all occurrences of with .
Step 1.4.1.8
Simplify.
Step 1.4.1.8.1
Simplify each term.
Step 1.4.1.8.1.1
Apply the distributive property.
Step 1.4.1.8.1.2
Simplify.
Step 1.4.1.8.1.2.1
Multiply by .
Step 1.4.1.8.1.2.2
Multiply by .
Step 1.4.1.8.1.2.3
Multiply by .
Step 1.4.1.8.1.3
Apply the distributive property.
Step 1.4.1.8.1.4
Simplify.
Step 1.4.1.8.1.4.1
Multiply by .
Step 1.4.1.8.1.4.2
Multiply by .
Step 1.4.1.8.1.4.3
Multiply by .
Step 1.4.1.8.2
Subtract from .
Step 1.4.1.8.3
Add and .
Step 1.4.1.8.4
Add and .
Step 1.4.1.9
Factor out of .
Step 1.4.1.9.1
Factor out of .
Step 1.4.1.9.2
Factor out of .
Step 1.4.1.9.3
Factor out of .
Step 1.4.1.9.4
Factor out of .
Step 1.4.1.9.5
Factor out of .
Step 1.4.1.10
Multiply by .
Step 1.4.1.11
Rewrite as .
Step 1.4.1.11.1
Factor out of .
Step 1.4.1.11.2
Rewrite as .
Step 1.4.1.11.3
Rewrite as .
Step 1.4.1.11.4
Add parentheses.
Step 1.4.1.12
Pull terms out from under the radical.
Step 1.4.1.13
Raise to the power of .
Step 1.4.2
Multiply by .
Step 1.4.3
Change the to .
Step 1.4.4
Cancel the common factor of and .
Step 1.4.4.1
Factor out of .
Step 1.4.4.2
Factor out of .
Step 1.4.4.3
Factor out of .
Step 1.4.4.4
Factor out of .
Step 1.4.4.5
Factor out of .
Step 1.4.4.6
Cancel the common factors.
Step 1.4.4.6.1
Factor out of .
Step 1.4.4.6.2
Cancel the common factor.
Step 1.4.4.6.3
Rewrite the expression.
Step 1.5
Simplify the expression to solve for the portion of the .
Step 1.5.1
Simplify the numerator.
Step 1.5.1.1
Apply the distributive property.
Step 1.5.1.2
Multiply by .
Step 1.5.1.3
Multiply by .
Step 1.5.1.4
Add parentheses.
Step 1.5.1.5
Let . Substitute for all occurrences of .
Step 1.5.1.5.1
Rewrite as .
Step 1.5.1.5.2
Expand using the FOIL Method.
Step 1.5.1.5.2.1
Apply the distributive property.
Step 1.5.1.5.2.2
Apply the distributive property.
Step 1.5.1.5.2.3
Apply the distributive property.
Step 1.5.1.5.3
Simplify and combine like terms.
Step 1.5.1.5.3.1
Simplify each term.
Step 1.5.1.5.3.1.1
Rewrite using the commutative property of multiplication.
Step 1.5.1.5.3.1.2
Multiply by by adding the exponents.
Step 1.5.1.5.3.1.2.1
Move .
Step 1.5.1.5.3.1.2.2
Multiply by .
Step 1.5.1.5.3.1.3
Multiply by .
Step 1.5.1.5.3.1.4
Multiply by .
Step 1.5.1.5.3.1.5
Multiply by .
Step 1.5.1.5.3.1.6
Multiply by .
Step 1.5.1.5.3.2
Subtract from .
Step 1.5.1.6
Factor out of .
Step 1.5.1.6.1
Factor out of .
Step 1.5.1.6.2
Factor out of .
Step 1.5.1.6.3
Factor out of .
Step 1.5.1.6.4
Factor out of .
Step 1.5.1.6.5
Factor out of .
Step 1.5.1.6.6
Factor out of .
Step 1.5.1.6.7
Factor out of .
Step 1.5.1.7
Replace all occurrences of with .
Step 1.5.1.8
Simplify.
Step 1.5.1.8.1
Simplify each term.
Step 1.5.1.8.1.1
Apply the distributive property.
Step 1.5.1.8.1.2
Simplify.
Step 1.5.1.8.1.2.1
Multiply by .
Step 1.5.1.8.1.2.2
Multiply by .
Step 1.5.1.8.1.2.3
Multiply by .
Step 1.5.1.8.1.3
Apply the distributive property.
Step 1.5.1.8.1.4
Simplify.
Step 1.5.1.8.1.4.1
Multiply by .
Step 1.5.1.8.1.4.2
Multiply by .
Step 1.5.1.8.1.4.3
Multiply by .
Step 1.5.1.8.2
Subtract from .
Step 1.5.1.8.3
Add and .
Step 1.5.1.8.4
Add and .
Step 1.5.1.9
Factor out of .
Step 1.5.1.9.1
Factor out of .
Step 1.5.1.9.2
Factor out of .
Step 1.5.1.9.3
Factor out of .
Step 1.5.1.9.4
Factor out of .
Step 1.5.1.9.5
Factor out of .
Step 1.5.1.10
Multiply by .
Step 1.5.1.11
Rewrite as .
Step 1.5.1.11.1
Factor out of .
Step 1.5.1.11.2
Rewrite as .
Step 1.5.1.11.3
Rewrite as .
Step 1.5.1.11.4
Add parentheses.
Step 1.5.1.12
Pull terms out from under the radical.
Step 1.5.1.13
Raise to the power of .
Step 1.5.2
Multiply by .
Step 1.5.3
Change the to .
Step 1.5.4
Cancel the common factor of and .
Step 1.5.4.1
Factor out of .
Step 1.5.4.2
Factor out of .
Step 1.5.4.3
Factor out of .
Step 1.5.4.4
Factor out of .
Step 1.5.4.5
Factor out of .
Step 1.5.4.6
Cancel the common factors.
Step 1.5.4.6.1
Factor out of .
Step 1.5.4.6.2
Cancel the common factor.
Step 1.5.4.6.3
Rewrite the expression.
Step 1.6
The final answer is the combination of both solutions.
Step 2
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be or for each of its variables. In this case, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
Not Linear