document.write( "Question 1132466: If (a-b)^2 - 3(a-b) -18 = 0, find the value of a - b - 8 if a - b - 6 is not equal to 0. \n" ); document.write( "
Algebra.Com's Answer #749515 by ikleyn(52809)\"\" \"About 
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document.write( "If  (a-b)^2 - 3(a-b) -18 = 0.  then\r\n" );
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document.write( "    a-b = use the quadratic formula = \"%283+%2B-+sqrt%283%5E2+%2B+4%2A18%29%29%2F2\" = \"%283+%2B-+9%29%2F2\".\r\n" );
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document.write( "Thus the two roots are\r\n" );
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document.write( "    a-b = \"%283+%2B+9%29%2F2\"  = 6 \r\n" );
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document.write( "and\r\n" );
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document.write( "    a-b = \"%283+-+9%29%2F2\" = -3.\r\n" );
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document.write( "Since, according to the condition the value of a-b-6 is not equal to 0, it means that  \r\n" );
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document.write( "    a-b = -3,  and hence  a-b-8 = (a-b+3) - 11 = 0 - 11 = -11.      ANSWER\r\n" );
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