x+3/x+2 = 3x-7/2x-3

Asked by Suman | 5th Apr, 2018, 06:52: PM

Expert Answer:

begin mathsize 16px style fraction numerator straight x plus 3 over denominator straight x plus 2 end fraction equals fraction numerator 3 straight x minus 7 over denominator 2 straight x minus 3 end fraction
rightwards double arrow left parenthesis straight x plus 3 right parenthesis left parenthesis 2 straight x minus 3 right parenthesis equals left parenthesis straight x plus 2 right parenthesis left parenthesis 3 straight x minus 7 right parenthesis
rightwards double arrow 2 straight x squared minus 3 straight x plus 6 straight x minus 9 equals 3 straight x squared minus 7 straight x plus 6 straight x minus 14
rightwards double arrow 2 straight x squared plus 3 straight x minus 9 equals 3 straight x squared minus straight x minus 14
rightwards double arrow straight x squared minus 4 straight x minus 5 equals 0
rightwards double arrow straight x squared minus 5 straight x plus straight x minus 5 equals 0
rightwards double arrow straight x left parenthesis straight x minus 5 right parenthesis plus 1 left parenthesis straight x minus 5 right parenthesis equals 0
rightwards double arrow left parenthesis straight x minus 5 right parenthesis left parenthesis straight x plus 1 right parenthesis equals 0
rightwards double arrow straight x equals 5 space or space straight x equals negative 1 end style

Answered by Rashmi Khot | 6th Apr, 2018, 09:14: AM