Precalculus Examples

Solve for y (2y+8)^2=64
Step 1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2
Simplify .
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Step 2.1
Rewrite as .
Step 2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 3
The complete solution is the result of both the positive and negative portions of the solution.
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Step 3.1
First, use the positive value of the to find the first solution.
Step 3.2
Move all terms not containing to the right side of the equation.
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Step 3.2.1
Subtract from both sides of the equation.
Step 3.2.2
Subtract from .
Step 3.3
Divide each term in by and simplify.
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Step 3.3.1
Divide each term in by .
Step 3.3.2
Simplify the left side.
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Step 3.3.2.1
Cancel the common factor of .
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Step 3.3.2.1.1
Cancel the common factor.
Step 3.3.2.1.2
Divide by .
Step 3.3.3
Simplify the right side.
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Step 3.3.3.1
Divide by .
Step 3.4
Next, use the negative value of the to find the second solution.
Step 3.5
Move all terms not containing to the right side of the equation.
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Step 3.5.1
Subtract from both sides of the equation.
Step 3.5.2
Subtract from .
Step 3.6
Divide each term in by and simplify.
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Step 3.6.1
Divide each term in by .
Step 3.6.2
Simplify the left side.
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Step 3.6.2.1
Cancel the common factor of .
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Step 3.6.2.1.1
Cancel the common factor.
Step 3.6.2.1.2
Divide by .
Step 3.6.3
Simplify the right side.
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Step 3.6.3.1
Divide by .
Step 3.7
The complete solution is the result of both the positive and negative portions of the solution.