Algebra Examples

Solve by Completing the Square x^2-8x=-15
Step 1
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of .
Step 2
Add the term to each side of the equation.
Step 3
Simplify the equation.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Raise to the power of .
Step 3.2
Simplify the right side.
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Step 3.2.1
Simplify .
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Step 3.2.1.1
Raise to the power of .
Step 3.2.1.2
Add and .
Step 4
Factor the perfect trinomial square into .
Step 5
Solve the equation for .
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Step 5.1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 5.2
Any root of is .
Step 5.3
The complete solution is the result of both the positive and negative portions of the solution.
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Step 5.3.1
First, use the positive value of the to find the first solution.
Step 5.3.2
Move all terms not containing to the right side of the equation.
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Step 5.3.2.1
Add to both sides of the equation.
Step 5.3.2.2
Add and .
Step 5.3.3
Next, use the negative value of the to find the second solution.
Step 5.3.4
Move all terms not containing to the right side of the equation.
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Step 5.3.4.1
Add to both sides of the equation.
Step 5.3.4.2
Add and .
Step 5.3.5
The complete solution is the result of both the positive and negative portions of the solution.