Asked by JIM

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

Please show working
Answered by Steve
x + 20/x = 9
x^2 - 9x + 20 = 0
I assume you can take it from here?
Answered by JIM
is it x=-5 or -4 ??
Answered by Steve
no,

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

negative numbers have negative reciprocals, so they'd add to -20
Answered by Steve
I mean add to -9
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