Q6 of 134 Page 4

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

Given:

To find: The number.


Formula Used:


The quadratic formula for finding the roots of quadratic equation
ax2 + bx + c = 0, a ≠ 0 is given by,



Explanation:


The number is x.


According to question,



⇒x2 + 12x – 160 = 0


Using the quadratic formula,





⸪ A natural number cannot be negative


⸫ The natural number is 8.


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