Question

if x+y=5,xy=6 and x>y then the value (x5+y5) is​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

Given, x+y=5,xy=6

(x+y)

3

=x

3

+y

3

+3xy(x+y)

Therefore, 5

3

=x

3

+y

3

+3(6)(5)

⇒125=x

3

+y

3

+90

⇒x

3

+y

3

=125−90=35

Answer 2

Step-by-step explanation:

Given ,

x+y=5 , xy=6

∴ (x-y)^2 = (x+y)^2 - 4xy

= 5^2 - 4.6

= 25-24

=1

∴ x-y = √1 = 1

Now,

x+y=5 + x-y=1

∴ 2x = 6 , ∴ x= 3

Again,

x+y=5 - x-y=1

∴2y=4 , ∴ y=2

∴x5+y5 = 3^5+2^5 =275