Question

If x+y=3 and xy=2,find x^3+x^3

Answer 1

Answer:

9

Step-by-step explanation:

x+y=3

⇒x=y-3

Now,

xy=2

Substituting value of x,we get

(y-3)y=2

⇒y²-3y-2=0

⇒(y-1)(y-2)=0

⇒y=1,2

Now

Case 1: y=1

⇒x=2

⇒x³+y³

⇒2³+1³=9

Case 2: y=2

⇒x=1 Similarly as above,

⇒9 ans