Question

If x+y = 6 and xy = 8, find x2 + y2

Answer 1

Answer:

Step-by-step explanation:

x = 6 - y

xy = 8

6y - y^2 = 8

y^2 - 6y + 8 = 0

(y-2)(y-4)=0

y = 2 or 6

case 1                                                         case 2

y = 2                                                                y = 4

x = 4                                                                x = 2

2x + 2y = 12

$x^{2} + y^{2} = 20$

Answer 2

The answer is 20.
Steps in the attachment.