document.write( "Question 992366: How do you solve the problem 3x^2-15x-7=0 using complete the square? \n" ); document.write( "
Algebra.Com's Answer #611980 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\"3x%5E2-15x-7=0\"... group first two terms together\r
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\n" ); document.write( "\n" ); document.write( "\"%283x%5E2-15x%29-7=0\"...factor out \"3\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%28x%5E2-5x%29-7=0\".........complete the square of \"%28x%5E2-5x%29\"\r
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\n" ); document.write( "\n" ); document.write( "to do it, recall that \"%28a-b%29%5E2=a%5E2-2ab%2Bb%5E2\"
\n" ); document.write( "so, we need to add \"b%5E2\" inside parentheses then subtract it outside parentheses
\n" ); document.write( "we do not know \"b\", but we know \"a=1\" and \"2ab=5\" and we can find \"b\"\r
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\n" ); document.write( "\n" ); document.write( "\"2ab=5\"=>\"2%2A1%2Ab=5\"=>\"b=5%2F2\" and \"b%5E2=%285%2F2%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "now add it to \"3%28x%5E2-5x%29-7=0\", and do not forget to multiply by \"3\" ones you subtract \"%285%2F2%29%5E2\" because \"3\" is in front of parentheses\r
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\n" ); document.write( "\n" ); document.write( "\"3%28x%5E2-5x%2B%285%2F2%29%5E2%29-3%285%2F2%29%5E2-7=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%28x-%285%2F2%29%5E2%29-3%2825%2F4%29-7=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%28x-%285%2F2%29%5E2%29-75%2F4-7=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%28x-%285%2F2%29%5E2%29-%2875%2F4%2B7%2A4%2F4%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%28x-%285%2F2%29%5E2%29-%2875%2F4%2B28%2F4%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%28x-5%2F2%29%5E2-103%2F4=0\"\r
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