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let ,5+x/5-x =y
therefore ,
- y -1/y= 15/4
- ( y ) square -1/y =15/4. ( L.c.m)
- (y)square -1 = 15y/4
- 4((y) square -1 ) = 15y
- ( 4y) square -4 =15y
- (4y) square -15y -4 =0
- (4y)2 -15y -4=0
- (4y)2 -16y +y -4
- ((4y) 2 -16y) +(y -4)
- 4y(y -4) +1(y-4)
- (4y+1) (y -4)
- y = -1/4 , 4
in case 1 (y=4)
5+x /5-x =4
5+x = 4(5-x)
5+x = 20 -4x
4x +x = 20-5
5x= 15
x=15/5
x=3
in case 2 (y =-1/4)
5+x=-1(5-x)/4
4(5+x)=-1(5-x)
20 +4x = x -5
4x-x = -5-20
3x = -25
x = -25/3
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