document.write( "Question 1022943: Express 3x^2-2x+1 in the form 3(x+p)^2 +q where p and q are real numbers \n" ); document.write( "

Algebra.Com's Answer #638499 by MathLover1(20850) $\"\"$ $\"About$

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$\"3x%5E2-2x%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3%28x%5E2-%282%2F3%29x%29%2B1\"$ .....complete square\r
\n" ); document.write( "\n" ); document.write( " $\"3%28x%5E2-%282%2F3%29x%2Bb%5E2%29-3b%5E2%2B1\"$ -> since coefficient $\"a=1%7D%7D+and+%7B%7B%7B2ab=+%282%2F3%29\"$ , we have $\"2%2A1b=+%282%2F3%29\"$ -> $\"b=+%282%2F3%29%2F2\"$ -> $\"b=+2%2F6\"$ -> $\"b=+1%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( "so, we have
\n" ); document.write( " $\"3%28x%5E2-%282%2F3%29x%2B%281%2F3%29%5E2%29-3%2A%281%2F3%29%5E2%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3%28x-1%2F3%29%5E2-3%2F9%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3%28x-1%2F3%29%5E2-1%2F3%2B3%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3%28x-1%2F3%29%5E2%2B2%2F3\"$ \r
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