Question

A number minus 20 times its reciprocal is 1. Find the number. If the problem has two solutions

Answer 1

1

Answer 2

x - (20/x) =1
x2 - 20 =x
x2 -x -20 =0
x_1,_2 =(1+/- sqrt(1+80))/2 =(1+/- 9 )/2 = -4 and 5

- prove

-4 - (20/(-4))=1
-4-(-5)=1
-4+5=1
1=1

5 - (20/5)=1
5 - 4=1
1=1

Answer 3

- hope so much that will be right