SOLUTION: solve the following equation by completing the square x(squared) +2x=3 {{{x^2+2x=3}}}

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: solve the following equation by completing the square x(squared) +2x=3 {{{x^2+2x=3}}}      Log On


   

Question 804559: solve the following equation by completing the square
x(squared) +2x=3
x%5E2%2B2x=3
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B2x=3
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Steps:
x%5E2%2B2x-3=3-3
x%5E2%2B2x-3=0
The part of the left side expression, x%5E2%2B2x, is like a rectangle of sides x and x+2. The missing square piece, when part of the rectangle is rearranged visually would be %282%2F2%29%5E2=1.
THAT is what you add to both sides of the general form equation to Complete the Square.
x%5E2%2B2x%2B1+-3+=+0%2B1
%28x%2B1%29%5E2-3=1
%28x%2B1%29%5E2=1%2B3
%28x%2B1%29%5E2=4
x%2B1=0%2B-+2----the zero is included here only so the site rendering works. It is not needed when done on paper.
x=-1%2B2 or x=-1-2
highlight%28x=1%29 or highlight%28x=-3%29