SOLUTION: Write the expression {{{9x^2-9x+1}}} in the form of {{{a(x+b)^2+c}}}. where a, b and c are real numbers

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Question 389038: Write the expression
9x%5E2-9x%2B1 in the form of a%28x%2Bb%29%5E2%2Bc. where a, b and c are real numbers

Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!

Complete the square to put the equation into vertex form.
y=9x%5E2-9x%2B1
y=9%28x%5E2-x%29%2B1
y=9%28x%5E2-x%2B1%2F4%29%2B1-9%281%2F4%29
y=9%28x-1%2F2%29%5E2%2B4%2F4-9%2F4
highlight%28y=9%28x-1%2F2%29%5E2-5%2F4%29

Answer by Alan3354(30959) About Me  (Show Source):
You can put this solution on YOUR website!
Write the expression 9x%5E2-9x%2B1 in the form of a%28x%2Bb%29%5E2%2Bc. where a, b and c are real numbers
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9x%5E2-9x%2B1
= 9%28x%5E2+-+x%29+%2B+1
= 9%28x%5E2+-+x+%2B+1%2F4%29+%2B+1+-+9%2F4
= 9%28x+-+1%2F2%29%5E2+-+5%2F4