Question

if x+y=12 and xy=20 find the value of x2+y2 and x3+y3

Answer 1

The solution of your question is in the above image.

Answer 2

Answer:104 , 1008

Step-by-step explanation:

x+y=12 =>x=12 - y

xy=20 =>y(12-y)=20

         => - y^2 + 12y - 20 = 0

        => y^2 - 12 +20 =0

        => y^2 - 2y - 10y +20 =0

        => (y - 2)(y - 10 ) = 20

therefore , y=2 or y=10

   so , x=10 or x =2

2x + 2y =24

3x + 3y =36

x^2 + y^2 =2^2 + 10^2 =104

x^3 + y^3 = 2^3 + 10^3=1008