Trigonometry Examples

Write in Standard Form y^2+8y+4x+36=0
Step 1
Solve for .
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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.
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Step 1.3.1
Simplify the numerator.
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Step 1.3.1.1
Raise to the power of .
Step 1.3.1.2
Multiply by .
Step 1.3.1.3
Apply the distributive property.
Step 1.3.1.4
Multiply by .
Step 1.3.1.5
Multiply by .
Step 1.3.1.6
Subtract from .
Step 1.3.1.7
Factor out of .
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Step 1.3.1.7.1
Factor out of .
Step 1.3.1.7.2
Factor out of .
Step 1.3.1.7.3
Factor out of .
Step 1.3.1.8
Rewrite as .
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Step 1.3.1.8.1
Rewrite as .
Step 1.3.1.8.2
Rewrite as .
Step 1.3.1.9
Pull terms out from under the radical.
Step 1.3.1.10
Raise to the power of .
Step 1.3.2
Multiply by .
Step 1.3.3
Simplify .
Step 1.4
Simplify the expression to solve for the portion of the .
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Step 1.4.1
Simplify the numerator.
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Step 1.4.1.1
Raise to the power of .
Step 1.4.1.2
Multiply by .
Step 1.4.1.3
Apply the distributive property.
Step 1.4.1.4
Multiply by .
Step 1.4.1.5
Multiply by .
Step 1.4.1.6
Subtract from .
Step 1.4.1.7
Factor out of .
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Step 1.4.1.7.1
Factor out of .
Step 1.4.1.7.2
Factor out of .
Step 1.4.1.7.3
Factor out of .
Step 1.4.1.8
Rewrite as .
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Step 1.4.1.8.1
Rewrite as .
Step 1.4.1.8.2
Rewrite as .
Step 1.4.1.9
Pull terms out from under the radical.
Step 1.4.1.10
Raise to the power of .
Step 1.4.2
Multiply by .
Step 1.4.3
Simplify .
Step 1.4.4
Change the to .
Step 1.5
Simplify the expression to solve for the portion of the .
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Step 1.5.1
Simplify the numerator.
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Step 1.5.1.1
Raise to the power of .
Step 1.5.1.2
Multiply by .
Step 1.5.1.3
Apply the distributive property.
Step 1.5.1.4
Multiply by .
Step 1.5.1.5
Multiply by .
Step 1.5.1.6
Subtract from .
Step 1.5.1.7
Factor out of .
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Step 1.5.1.7.1
Factor out of .
Step 1.5.1.7.2
Factor out of .
Step 1.5.1.7.3
Factor out of .
Step 1.5.1.8
Rewrite as .
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Step 1.5.1.8.1
Rewrite as .
Step 1.5.1.8.2
Rewrite as .
Step 1.5.1.9
Pull terms out from under the radical.
Step 1.5.1.10
Raise to the power of .
Step 1.5.2
Multiply by .
Step 1.5.3
Simplify .
Step 1.5.4
Change the to .
Step 1.6
The final answer is the combination of both solutions.
Step 2
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
Step 3
The standard form is .
Step 4