The sum of a number and 18 times its reciprocal is 9. Find the numbers

Question

ger

rg

dfjgh

fdg

dgjk

dfgj

d

fgd

fhgo

drg

drdgj

eroghergher

hgjejrhgje

ur

Please help me solve

 

Answer 1

if the number is "x", then its reciprocal is 1/x

 

The equation can be written as:

 

x + 18 * (1/x) = 9

x + 18/x = 9

multiply both sides by x:

 

x² + 18 = 9x

 

x² - 9x + 18 = 0

 

This can be factored as:

 

(x-3) (x-6) =0

which has solutions x=3 and x=6.

 

Check:

 

3 + 18/3 = 3 + 6 = 9

6 + 18/6 = 6 + 3 = 9

 

 

So the two numbers that satisfy these criteria are:  3 and 6