Question

the difference of an integer and it's reciprocal is 143\12 find the integer

Answer 1

Ans: 12

Let the integer be x.
This means that its reciprocal is 1/x.

By sum,
x-1/x =143/12
=(x^2 - 1)/x = 143/12
=> (x^2 - 1) × 12= 143x
=> 12x^2 - 12 = 143x
=> 12x^2 -143x-12 = 0
=> (12x +1)(x -12) = 0

This implies that:
x=12 or 1/12

But as we know, 1/12 is not an integer, the answer is 12.

For detailed working, check the image.

Answer 2

Answer:

it is a required solution