Question

please help class-12 maths:-

if x= 1/x-5 find x= x-1/x

Answer 1

Answer:

x = -1/2

Step-by-step explanation:

x = 1/x-5

x(x-5) = 1

x^2 - 5x = 1

x^2 - 5x - 1 = 0 eq 1

x = x-1/x

x^2 = x - 1

x^2 - x + 1 = 0 eq 2

from eq 1 and eq 2, we get,

x^2 - 5x -1 = x^2 -x + 1

x^2 - x^2 -5x +x -1 -1 = 0

-4x -2 = 0

-4x = 2

x = 2/-4

x = -2/4

x = -1/2

Maybe it is the way to solve it.