Trigonometry Examples

Solve for x (x+3)^2+(y-3)^2=53
Step 1
Subtract from both sides of the equation.
Step 2
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 3
Simplify .
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Step 3.1
Rewrite as .
Step 3.2
Expand using the FOIL Method.
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Step 3.2.1
Apply the distributive property.
Step 3.2.2
Apply the distributive property.
Step 3.2.3
Apply the distributive property.
Step 3.3
Simplify and combine like terms.
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Step 3.3.1
Simplify each term.
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Step 3.3.1.1
Multiply by .
Step 3.3.1.2
Move to the left of .
Step 3.3.1.3
Multiply by .
Step 3.3.2
Subtract from .
Step 3.4
Apply the distributive property.
Step 3.5
Simplify.
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Step 3.5.1
Multiply by .
Step 3.5.2
Multiply by .
Step 3.6
Subtract from .
Step 4
The complete solution is the result of both the positive and negative portions of the solution.
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Step 4.1
First, use the positive value of the to find the first solution.
Step 4.2
Subtract from both sides of the equation.
Step 4.3
Next, use the negative value of the to find the second solution.
Step 4.4
Subtract from both sides of the equation.
Step 4.5
The complete solution is the result of both the positive and negative portions of the solution.