Question

The number obtained by adding the square of a number and its reciprocal is greater by 7/4 that the sum of the number and its reciprocal .Find the number

Answer 1

$\mathfrak{The\:Answer\:is}$

x+7/4 = 49/16

=> x = 1.315

$\boxed{Hope\:This\:Helps}$

Answer 2

Answer:

$x + \frac{7}{4} = \frac{49}{16} \\ \\ x = \frac{49}{16} - \frac{7}{4} \\ \\ x = \frac{49}{16} - \frac{7 \times 4}{4 \times 4} \\ \\ x = \frac{49}{16} - \frac{28}{16} \\ \\ x = \frac{49 - 28}{16} \\ \\ x = \frac{21}{16}$