Question

if x-y=7 and xy=60 then find the value of x4+y4?

Answer 1

Step-by-step explanation:

12-5=7

12×5=60

x=12

y=7

Putting these values in given equation.

x4+y4

(12×4)+(7×4)

48+28

76

Answer 2

Answer:

27886

Step-by-step explanation:

(x-y)^2=x^2+ y^-2xy

(7)^2=x^2+y^2-2×60

49=x^2+y^2-120

49+120=x^2+y^2

169=x^2+y^2

(x^2+y^2)^2=x^4+y^4+2(x^2+y^2)

(169)^2=x^4+y^4+2×169

28561=x^4+y^4+338

28561-338=x^4+y^4

27886=x^4+y^4

hope it helped you 1