Question

the sum of two number is 9 and the sum of ther resiprocal is 1/2 find the number.explaintion.​

Answer 1

Answer:No. are 3,6 or 6,3

Step-by-step explanation:

Let no. be a,b

a+b=9

1/a+1/b=1/2

1/a=1/2-1/b=(b-2)/2b

a=2b/(b-2)

Now

a+b=9

2b/(b-2) + b =9

(2b+b²-2b)/(b-2)=9

b²=9×(b-2)

b²=9b-18

b²-9b+18=0

b²-3b-6b+18=0

b(b-3)-6(b-3)=0

(b-6)(b-3)=0

Either b-6=0 or b-3=0

b=6 or b=3

Either

a=9-b=9-6=3

Or

a=9-b=9-3=6

Hope it will help