Question

1. If x - y = 2 and xy = 24, find +
1 1
X y​

Answer 1

As we know that

(x+y)

2

−(x−y)

2

=4xy

putting the value of (x-y) and xy , we get

(x+y)

2

−(2)

2

=4×24

⇒(x+y)

2

=4+4×24

⇒(x+y)

2

=100

∴(x+y)=10or−10

Since x and y are positive, we take

(x+y)=10

Now,

x

1

+

y

1

=

xy

x+y

=

24

10

=

12

5