Question

If 1/x-1 - 1/x = 1/x-5 - 1/x-4 find x​

Answer 1

Answer:

x=5/2 is answer

Step-by-step explanation:

[1/(x-1)]-[1/x]=[1/(x-5)]-[1/x-4]

[x-(x-1)/x(x-1)]=[x-4-(x-5)/(x-4)(x-5)]

[x-x+1/x^2-x]=[x-4-x+5]/(x^2-5x-4x+20]

[1/x^2-x]=[1/x^2-9x+20]

on cross multiplication,

x^2-9x+20=x^2-x

-9x+20=-x

20=-x+9x

20=8x

x=20/8=5/2