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x+1/x-1=3x-7/2x-5
Asked by pruthaveshmenesj01052 | 06 Jun, 2021, 09:42: PM Expert Answer After cross multiplying , we get

( x + 1 ) ( 2x - 5 ) = ( 3x -7 ) ( x - 1 )

2x2 -3x -5 = 3x2 - 10x  + 7

X2 - 7x + 12 = 0

(x-4) ( x-3 ) = 0

x = 4 or x = 3
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Alternate method by ratio and proportion .............................(1)

If (a/b) = (c/d ) , then we have  ( a + b ) / (a - b )  = ( c + d ) / ( c - d )  .........................(2)

Using above property of ratio and proportion, given eqn.(1) is written as

( x / 1 )   = [ ( 3x - 7 ) + ( 2x - 5 ) ] / [ (3x-7 ) - (2x -5 ) ]

x = ( 5x - 12 ) / ( x -2 )

x2 - 2x = 5x - 12

x2 - 7x +12 = 0  or  ( x-4) ( x- 3 ) = 0

Hence , we get , x = 3 or x = 4

Answered by Thiyagarajan K | 20 Sep, 2021, 12:34: PM
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