X-1/X-2 + X-3/X-4 = 3 whole 1 by 3. Find the value of X.
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Hii friend,
X-1/X-2+X-3/X-4 = 10/3
(X-1)(X-4)+(X-2)(X-3)/(X-2)(X-4) = 10/3
(X²-5X+4)+(X²-5X+6)/(X²-6X+8) = 10/3
(2X²-10X+10)/X²-6X+8 = 10/3
10(X²-6X+8) = 3(2X²-10X+10). [ by cross multiplication]
10X²-60X+80 = 6X²-30X+30
4X²-30X+50 = 0 = 2X²-15X+25=0
2X²-10X-5X+25= 0. = 2X(X-5) -5(X-5) = 0
(X-5)(2X-5) = 0
X = 5 or X= 5/2
HENCE,
5 AND 5/2 ARE THE ROOTS OF THE GIVEN EQUATION...
HOPE IT WILL HELP YOU.... :-)
X-1/X-2+X-3/X-4 = 10/3
(X-1)(X-4)+(X-2)(X-3)/(X-2)(X-4) = 10/3
(X²-5X+4)+(X²-5X+6)/(X²-6X+8) = 10/3
(2X²-10X+10)/X²-6X+8 = 10/3
10(X²-6X+8) = 3(2X²-10X+10). [ by cross multiplication]
10X²-60X+80 = 6X²-30X+30
4X²-30X+50 = 0 = 2X²-15X+25=0
2X²-10X-5X+25= 0. = 2X(X-5) -5(X-5) = 0
(X-5)(2X-5) = 0
X = 5 or X= 5/2
HENCE,
5 AND 5/2 ARE THE ROOTS OF THE GIVEN EQUATION...
HOPE IT WILL HELP YOU.... :-)
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