solve (2x-3/x-1)-4 (x-1/2x-3)=3,where X! =1,X! =3/2.

Asked by nitinkumarsingh.singh.75 | 5th Aug, 2015, 02:55: PM

Expert Answer:

G i v e n space t h a t fraction numerator 2 x minus 3 over denominator x minus 1 end fraction minus fraction numerator 4 open parentheses x minus 1 close parentheses over denominator 2 x minus 3 end fraction equals 3 R e w r i t i n g space t h e space a b o v e space e q u a t i o n comma space w e space h a v e comma fraction numerator open parentheses 2 x minus 3 close parentheses squared minus 4 open parentheses x minus 1 close parentheses squared over denominator open parentheses x minus 1 close parentheses open parentheses 2 x minus 3 close parentheses end fraction equals 3 rightwards double arrow open parentheses 2 x minus 3 close parentheses squared minus 4 open parentheses x minus 1 close parentheses squared equals 3 open parentheses x minus 1 close parentheses open parentheses 2 x minus 3 close parentheses rightwards double arrow 4 x squared plus 9 minus 12 x minus 4 open parentheses x squared plus 1 minus 2 x close parentheses equals 3 open parentheses 2 x squared minus 5 x plus 3 close parentheses rightwards double arrow 4 x squared plus 9 minus 12 x minus 4 x squared minus 4 plus 8 x equals 6 x squared minus 15 x plus 9 rightwards double arrow 6 x squared minus 11 x plus 4 equals 0 rightwards double arrow 6 x squared minus 8 x minus 3 x plus 4 equals 0 rightwards double arrow 2 x open parentheses 3 x minus 4 close parentheses minus 1 open parentheses 3 x minus 4 close parentheses equals 0 rightwards double arrow open parentheses 2 x minus 1 close parentheses open parentheses 3 x minus 4 close parentheses equals 0 rightwards double arrow open parentheses 2 x minus 1 close parentheses equals 0 space o r space rightwards double arrow open parentheses 3 x minus 4 close parentheses equals 0 rightwards double arrow x equals 1 half space o r space x equals 4 over 3

Answered by Vimala Ramamurthy | 5th Aug, 2015, 06:38: PM

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