Question

if √x/y+√y/x=9 and xy= 3 find x^2+ y^2

Answer 1

Answer:

237

Step-by-step explanation:

√x/√y+√y/√x=9. xy=3

taking L.C.M. which is equal to

x+y/√xy=9.

x+y/√3=9. : xy=3

x+y=9√3

taking square on both side

(x+y)2=(9√3)2

x2+y2+2xy=81(3)

x2+y2+2(3)=243. : xy=3

x2+y2+6=243

x2+y2=243-6

x2+y2=237

Answer 2

with values f(0,1+3. √. 2) = (2 + 3. √. 2)2 , f(0, 1 − 3. √. 2) = (2 − 3. √. 2)2 . In the second case λ = 1. 2 we obtain from the second equation.