Question

The sum of a positive number and 5 is 806 times the reciprocal of the number. Find the number.

Answer 1

note that x>0

(x) + 5 = 806 * (1/x) is your set up

Simplify:
x + 5 = (806/x)

Multiply both sides by x
x(x+5) = (806/x) * x
x^2 + 5x = 806

Set to zero
(x^2 + 5x - 806) = 0

Factor! :D
(x-26)(x+31) = 0

Set each factor to 0
(x-26) = 0
x = 26

(x+31) = 0
x = -31

so, x = {26,31} BUT!...

Remember that your condition is x>0
So your only answer is 26.
Hope this help :^)

Answer 2

thankyou