Question

The sum of a number and its reciprocal is 5/2 Represent this situation as

Answer 1

Answer:

if the number is 2/5 it reciprocal would be 5/2

if they are added

= 2/5+5/2

= 2.9

Answer 2

Answer: the number is equal to 2 or 1/2.

Step-by-step explanation:

let the number be represented as $x$

Its reciprocal =  $1/x$

the sum = $x + 1/x$

$x + 1/x$ = $5/2$

$2 (x^{2} + 1) = 5x$

$2x^{2} + 2 = 5x$

$2x^{2} -5x + 2 = 0$

$2x^{2} - x - 4x + 2 = 0\\x(2x - 1) - 2(2x - 1) = 0\\(x-2) (2x-1)= 0\\x = 2 or x = 1/2$