SOLUTION: Solve by completing the square {{{x^2+(7/2) x=7}}}

SOLUTION: Solve by completing the square {{{x^2+(7/2) x=7}}}

Algebra.Com

Question 130753: Solve by completing the square

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Take half of the x coefficient to get (ie ).

Now square to get (ie )

Now add and subtract this value inside the parenthesis. Doing both the addition and subtraction of does not change the equation

Factor to get

Add to both sides

Combine the fractions

Take the square root of both sides

Break up the root

Take the square root of 16 to get 4

Subtract from both sides

Combine the fractions

So the equation breaks down to

or

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Answer:

So our solutions are

or

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