Question

the sum of two number is 9 and the sum of their recirocal is 1/2 find the number​

Answer 1

Answer:

let one number be x

and other number be 9-x

a/q

1/x + 1/9-x = 1/2

9-x+x/x(9-x) = 1/2

9/x(9-x) = 1/2

x(9-x)=18

x^2-9x+18=0

x^2-6x-3x+18=0

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

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

x=6,3

when one=6, other=3