Question

Sum of a number and it's reciprocal 25/12 . Find the number

Answer 1

Answer:

☞ Let the number be x.

Reciprocal of x = 1 / x

According to the question :

$x + \frac{1}{x} = \frac{25}{12} \\ \\ = > \frac{ {x}^{2} + 1}{x} = \frac{25}{12} \\ \\ = > 12( {x}^{2} + 1) = 25x \\ \\ = > 12 {x}^{2} + 12 = 25x \\ \\ = > 12 {x}^{2} - 25x + 12 = 0 \\ \\ = > 12 {x}^{2} - (16 + 9)x + 12 = 0 \\ \\ = > 12 {x}^{2} - 16x - 9x + 12 = 0 \\ \\ = > 4x( 3x - 4) - 3(3x - 4) = 0 \\ \\ = > (4x - 3)(3x - 4) = \\ \\ either \: 4x - 3 = 0 \\ \\ = > x = \frac{3}{4} \\ \\ or \: 3x - 4 = 0\\ \\ = > x = \frac{4}{3}$

Verification of my answer :

3 / 4 + 4 / 3

= 9 + 16 / 12

= 25 / 12

☆ So the numbers are 3 / 4 and 4 / 3

# keep smiling ☺

Answer 2

Step-by-step explanation:

77878+68788+898/989)

gi(89898)+787988