Question

A natural number, when increased by 12, equal 160 times it's reciprocal, find the number

Answer 1

let the required no be x
A/q,
x+12=160/x
x^2+12x-160=0
x^2-20x+8x-160=0
×=20 or. x= -8.

Answer 2

Answer:

The number is 8

Step-by-step explanation:

Let the number be x.

As given,

x + 12 = 160 ( 1 / x )

x + 12 = 160 / x

x ^2 + 12 x = 160

x ^2 + 12 x - 160 = 0

x ^2 + 20 x - 8 x - 160 = 0

x ( x + 20 ) - 8 ( x + 20 ) = 0

( x - 8 ) ( x + 20 ) = 0

x = 8 or x = - 20

Given : x is a natural number.

Hence, x = 8