Question
Mon March 09, 2015 By: P S Lakshmi

(a+b)x - 4abx - (a-b)(a-b)=0

Expert Reply
Prasenjit Paul
Tue March 10, 2015
left parenthesis a plus b right parenthesis squared x squared minus 4 a b x minus left parenthesis a minus b right parenthesis squared equals 0 rightwards double arrow left parenthesis a plus b right parenthesis squared x squared minus left parenthesis a plus b right parenthesis squared x plus left parenthesis a minus b right parenthesis squared x minus left parenthesis a minus b right parenthesis squared equals 0 rightwards double arrow left parenthesis a plus b right parenthesis squared x left square bracket x minus 1 right square bracket plus left parenthesis a minus b right parenthesis squared left square bracket x minus 1 right square bracket equals 0 rightwards double arrow left square bracket x minus 1 right square bracket left square bracket left parenthesis a plus b right parenthesis squared x plus 1 right square bracket equals 0 therefore left parenthesis x minus 1 right parenthesis equals 0 rightwards double arrow x equals 1  A l s o comma left square bracket left parenthesis a plus b right parenthesis squared x plus 1 right square bracket equals 0 rightwards double arrow x equals negative fraction numerator 1 over denominator left parenthesis a plus b right parenthesis squared end fraction R o o t s space a r e space minus 1 comma negative fraction numerator 1 over denominator left parenthesis a plus b right parenthesis squared end fraction
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