SOLUTION: Solve by completing the square x^2 = 5x + 2 Please help me with this, thank you

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Question 69479: Solve by completing the square x^2 = 5x + 2
Please help me with this, thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+=+5x+%2B+2
x%5E2-5x+=+cross%285x+-5x%29%2B2 Get the 5x term to the left side
x%5E2-5x+=+2Take half of the 2nd coefficient and square it %281%2F2%2A5%29%5E2=25%2F4
x%5E2-5x%2B25%2F4+=+2%2B25%2F4 Add this value to both sides
General form of perfect square
y=%28x%2B-b%29%5E2%2Bk To find value of b, take half of 2nd coefficient.
%28x-5%2F2%29%5E2=8%2F4%2B25%2F4
%28x-5%2F2%29%5E2=33%2F4
%28x-5%2F2%29%5E2-33%2F4=0
Answer: y=%28x-5%2F2%29%5E2-33%2F4
If you graph y=x^2 - 5x - 2 and y=(x-5/2)^2-33/4 together they should be the same graph, verifying the answer