document.write( "Question 703345: axb=-144\r
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document.write( "a+b=-7\r
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document.write( "solve using algebra? \n" );
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Algebra.Com's Answer #433468 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! axb=-144\r \n" ); document.write( "\n" ); document.write( "a+b=-7 \n" ); document.write( "============== \n" ); document.write( "Use * (Shift 8) for multiply \n" ); document.write( "a*b=-144\r \n" ); document.write( "\n" ); document.write( "a+b=-7 \n" ); document.write( "-------- \n" ); document.write( "Find 2 factors of 144 that differ by 7, one +, one minus. \n" ); document.write( "--- \n" ); document.write( "Factors: \n" ); document.write( "1*144 \n" ); document.write( "2*72 \n" ); document.write( "3*48 \n" ); document.write( "4*36 \n" ); document.write( "6*24 \n" ); document.write( "8*18 \n" ); document.write( "9*16 difference = 7 \n" ); document.write( "--> -16 and 9 \n" ); document.write( "=================== \n" ); document.write( "Using algebra: \n" ); document.write( "a*b=-144\r \n" ); document.write( "\n" ); document.write( "a+b=-7 --> b = -a-7 \n" ); document.write( "Sub for b in the 1st eqn \n" ); document.write( "a*(-a-7) = -144 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Now find 2 factors of -144 that differ by 7, same as above. \n" ); document.write( "(a + 16)*(a - 9) = 0 \n" ); document.write( "a = 9, b = -16 or vice versa \n" ); document.write( "same answer \n" ); document.write( " |