Question

iii) The sum of a natural number x' and its reciprocal is 37
2
form equation
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Answer 1

Answer:

⇒ ⇒ $x^2 - 372x + 1 = 0$

Step-by-step explanation:

Given :

The sum of a natural number x and its reciprocal is 372.

Solution :

If the number is $x$,

⇒ The reciprocal will be $\frac{1}{x}$

⇒ The sum of them is 372

⇒ ⇒ $x+\frac{1}{x} = 372$

⇒ ⇒ $\frac{x^2}{x}+ \frac{1}{x} = 372$

⇒ ⇒ $\frac{x^2+1}{x} = 372$

⇒ ⇒ $x^2 + 1 = 372 x$

⇒ ⇒ $x^2 - 372x + 1 = 0$

Is the required Equation