If 12 is added to a natural number, it becomes 160 times of its reciprocal. Find the number.

If 12 is added to a natural number, it becomes 160 times of its recipr

1.	If 12 is added to a natural number, it becomes 160 times of its reciprocal. Find the number.
Answer» let natural number be xa to q x+12 -- 160 *1/x(-- is in the place of equals to sign)x+12-160/x -- 0 (take lcm and solve it)xsquare+12x-160 --0(solve it by middle term splitting factorization)x square+20x-8x-160 -- 0x(x+20)-8(x+20)(x+20)(x-8)so the possiblities of natural number is 8 and -20