Precalculus Examples

Solve by Completing the Square
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of , the coefficient of .
Add the term to each side of the equation.
Simplify the equation.
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Simplify the right side.
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Raise to the power of to get .
Add and to get .
Raise to the power of to get .
Factor the perfect trinomial square into .
Solve the equation for .
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Take the square root of each side of the equation to set up the solution for
Remove the perfect root factor under the radical to solve for .
Remove parentheses.
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
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