Square root x/x-1+square root x-1/x=13/6
Answers
Answered by
5
let
x/x-1=y
Now y+1/y=13/6
y-1/y= √(y+1/y)^2-4*y*1/y=√169/36-4=5/6 or -5/6 hence y=3 or 4/3
hence x/x-1=3 or 4/3
solcing similaarly we can get x
x=3x-3 or 2x=3 or x=3/2
again when y=4/3
x/x-1=4/3 or 3x=4x-4 or x=4
x/x-1=y
Now y+1/y=13/6
y-1/y= √(y+1/y)^2-4*y*1/y=√169/36-4=5/6 or -5/6 hence y=3 or 4/3
hence x/x-1=3 or 4/3
solcing similaarly we can get x
x=3x-3 or 2x=3 or x=3/2
again when y=4/3
x/x-1=4/3 or 3x=4x-4 or x=4
Similar questions