Question

if x+y=6, xy=8 find x2 +y2​

Answer 1

hope it helps you mate.......

Answer 2

Given:

• x + y = 6......(I)
• xy = 8........(II)

To find:

• x² + y²

Process:

1. Formula for (a+b)² :

• x² + 2xy + y²

1. Let's put the values of variables and equate them to their formula:

• (x + y)² = (x + y)²

=> x² + 2xy + y² = (6)²

(Since x + y = 6 from(I))

=> x² + y² + 2(8) = 36

( xy = 8 from (II) and expanding (6)²)

=> x² + y² + 16 = 36

=> x² + y² = 36 - 16

=> x² + y² = 20

Answer:

Therefore x² + y² = 20