Question

The sum of a number and 20 times its reciprocal is 9. Find the number(s).

Please show working

Answer 1

x + 20/x = 9
x^2 - 9x + 20 = 0
I assume you can take it from here?

Answer 2

is it x=-5 or -4 ??

Answer 3

no,

(x-5)(x-4) = 0
x = 4 or 5

negative numbers have negative reciprocals, so they'd add to -20

Answer 4

I mean add to -9