Question

A natural number when increased by 84 equals 160 times its reciprocal. Find the number

Answer 1

Step by step explanation:-

Let the natural number be 'x'

A.T.C

$x + 84 = 160 \frac{1}{x }$
$x + 84 = \frac{160}{x}$
$84 = \frac{160}{x} - x$
$84 = \frac{160 - {x}^{2} }{x}$
$84x = 160 - {x}^{2}$
${x }^{2} + 84x - 160 = 0$

Here there are no factors of this equation.
Hence there do not exists such natural number ......


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