SOLUTION: Could someone please show me how to solve its expression??? Solve by completing the square. {{{x^2=5x=2}}}

Algebra ->  Square-cubic-other-roots -> SOLUTION: Could someone please show me how to solve its expression??? Solve by completing the square. {{{x^2=5x=2}}}      Log On


   

Question 102737: Could someone please show me how to solve its expression???
Solve by completing the square. x%5E2=5x=2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve this equation (this is not an expression!) by completing the square:
x%5E2%2B5x+=+2 Add the square of half the x-coefficient to both sides. This would be %285%2F2%29%5E2+=+25%2F4
x%5E2%2B5x%2Bhighlight%2825%2F4%29+=+2%2Bhighlight%2825%2F4%29Simplify.
x%5E2%2B5x%2B25%2F4+=+%288%2B25%29%2F4
x%5E2%2B5x%2B25%2F4+=+33%2F4 Now factor the left side.
%28x%2B5%2F2%29%28x%2B5%2F2%29+=+33%2F4 Rewrite this as:
Ooops! I clicked the wrong button before finishing.
%28x%2B5%2F2%29%5E2+=+33%2F4 Now take the square root of both sides.
sqrt%28%28x%2B5%2F2%29%5E2%29+=+sqrt%2833%2F4%29 Simplify.
x%2B5%2F2+=+sqrt%2833%29%2F2 or x%2B5%2F2+=+-sqrt%2833%29%2F2 Finally, subtract 5%2F2 from both sides of each solution.
x+=+sqrt%2833%2F2%29-5%2F2 or x+=+-sqrt%2833%29%2F2-5%2F2 The can be written:
x+=+-%28%285-sqrt%2833%29%29%2F2%29 or x+=+-%28%285%2Bsqrt%2833%29%29%2F2%29