Quadratic equations such as this one can be solved by completing the square. In order to complete the square, the equation must first be in the form
Divide the coefficient of the term, by to get Then add the square of to both sides of the equation. This step makes the left hand side of the equation a perfect square.
Factor In general, when is a perfect square, it can always be factored as
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Steps for Completing the Square:
Quadratic equations such as this one can be solved by completing the square. In order to complete the square, the equation must first be in the form
Divide
the coefficient of the
term, by
to get
Then add the square of
to both sides of the equation. This step makes the left hand side of the equation a perfect square.
Factor
In general, when
is a perfect square, it can always be factored as
Subtract
from both sides of the equation to get :
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