Question

A natural number,when increased by 12,equals to 160 times of its reciprocal. Find the number

Answer 1

Let the number be x. Then,

x+12=160×

x

1

x

2

+12x−160=0

(x+20)(x−8)=0

x=−20,8

Therefore, the required number is 8

Answer 2

Step-by-step explanation:

let the no is x

(x+12 )/160= 1/x

x^2+12x= 160

x^2+12x-160=0

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

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

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

x=8 and x= -20

and number is natural number so answer is x= 8

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