Question

what number increased by its reciprocal equals 65/8 ?​

Answer 1

Hi ⭐♥️❣️

Let the number be x

$x + \frac{1}{x} = \frac{65}{8}$

$\frac{x {}^{2} + 1 }{x} = \frac{65}{8}$

Cross multiplying,

$8x {}^{2} + 8 = 65x$

$8 {x}^{2} - 65x + 8 = 0$

Solve using quadratic formula

we get

x= 8

Hope it helps you

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