document.write( "Question 1159487: Calculate the value of A,B and C for which 3x^2-6x+5=A (X+B)^2+C \n" ); document.write( "
Algebra.Com's Answer #782536 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "Calculate the value of \"A\",\"B\" and \"C\" for which \r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2-6x%2B5=A%28x%2BB%29%5E2%2BC\"\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2-6x%2B5=A%28x%5E2%2B2Bx%2BB%5E2%29%2BC\"\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2-6x%2B5=Ax%5E2%2B2ABx%2BAB%5E2%2BC\"-> comparing coefficients, we see that \"A=3\",\"2AB=-6\", and \"AB%5E2%2BC=5\"\r
\n" ); document.write( "\n" ); document.write( "if \"2AB=-6\" and \"A=3\", then\r
\n" ); document.write( "\n" ); document.write( "\"2%2A3B=-6\"
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\n" ); document.write( "\"6B=-6\" \r
\n" ); document.write( "\n" ); document.write( "\"B=-1\" \r
\n" ); document.write( "\n" ); document.write( "then \"AB%5E2%2BC=5\"->\"3%28-1%29%5E2%2BC=5\"->\"3%2A1%2BC=5\"->\"C=5-3\"->\"C=2\"\r
\n" ); document.write( "\n" ); document.write( "so, the value of \"A\",\"B\" and \"C\" are:\r
\n" ); document.write( "\n" ); document.write( "\"A=3\",\"B=-1\" and \"2\"\r
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\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2-6x%2B5=3%28x-1%29%5E2%2B2\"\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2-6x%2B5=3%28x%5E2-2x%2B1%29%2B2\"\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2-6x%2B5=3x%5E2-6x%2B3%2B2\"\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2-6x%2B5=3x%5E2-6x%2B5\"-> true\r
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