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

Asked by P S Lakshmi | 9th Mar, 2015, 09:19: PM

Expert Answer:

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

Answered by Prasenjit Paul | 10th Mar, 2015, 01:26: PM

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