Question

Solve
2(x-3)/x(x-6) <1/x-1
​

Answer 1

Step-by-step explanation:

x - 1/x = 6………….(1)

On cubing both sides

x^3–1/x^3- 3.x.1/x.(x-1/x) = 216

x^3 - 1/x^3 - 3×(6) = 216

x^3 - 1/x^3 = 234……….(2)

We know that:-

( x+1/x)^2 = (x - 1/x)^2 +4 =(6)^2 +4 = 40.

(x+1/x) = +/-(2.10^1/2)……………..(3)

On cubing both sides.

x^3 +1/x^3 +3.x.1/x(x+1/x) = +/-(80.10^1/2)

x^3+1/x^3 +3.(+/-2.10^1/2) =+/-(80.10^1/2)

x^3 + 1/x^3 = +/-(74.10^1/2)……………….(4)

On multiplying eq. (2) & (4)

(x^3 -1/x^3).(x^3+1/x^3) =(234).(+/-74.10^1/2).

x^6 - 1/x^6 = +/-(17316).(10)^1/2 , Answer.

Answer 2

Answer:

vbshhahhhwiey to hug you and