Question

If x-y = 6, and xy=8 , find value of x² + y²​

Answer 1

Answer:

52

Step-by-step explanation:

x

2

+y

2

=(x−y)

2

+2xy

=6

2

+2(8)

=36+16

=52

Answer 2

Answer:

the answer is 52

Step-by-step explanation:

(x-y)^2 = x² + y²- 2xy

substituting the values x-y=6 & xy=8

we get [6^2 = - (2×8)]

36 = x^2 + y^2 - 16

36+16 = x² + y²

52 = x² + y²

therefore x² + y² = 52