Question

Can anyone tell me answer of this....​

Answer 1

Answer:

1:2 or 2:1

Step-by-step explanation:

x²+y²= 2.5xy

divide both sides with xy.

x/y +y/X = 5/2

now let z= X/y

z+1/z = 5/2

(z²+ 1)/z = 5/2

2z²+ 2= 5z

2z²-5z +2=0

2z²-4z -z +2=0

2z(z-2)-1(z-2) =0

(2z-1)(z-2) =0

z= 1/2 or z=2

x/y = 1/2 or x/y = 2/1

so, X:y = 1:2 or 2:1