SOLUTION: Express 3x^2-2x+1 in the form 3(x+p)^2 +q where p and q are real numbers

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Question 1022943: Express 3x^2-2x+1 in the form 3(x+p)^2 +q where p and q are real numbers
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2-2x%2B1
3%28x%5E2-%282%2F3%29x%29%2B1.....complete square
3%28x%5E2-%282%2F3%29x%2Bb%5E2%29-3b%5E2%2B1-> since coefficient a=1%7D%7D+and+%7B%7B%7B2ab=+%282%2F3%29, we have 2%2A1b=+%282%2F3%29->b=+%282%2F3%29%2F2->b=+2%2F6->b=+1%2F3
so, we have
3%28x%5E2-%282%2F3%29x%2B%281%2F3%29%5E2%29-3%2A%281%2F3%29%5E2%2B1
3%28x-1%2F3%29%5E2-3%2F9%2B1
3%28x-1%2F3%29%5E2-1%2F3%2B3%2F3
3%28x-1%2F3%29%5E2%2B2%2F3