Question

4. If x+y = 9 and xy = 16, then find the value of x² + y².

Answer 1

Answer:

49

Step-by-step explanation:

Given,

x + y = 9

xy = 16

To find : x² + y² = ?

( x + y )² = x² + y² + 2xy

9² = x² + y² + 2 ( 16 )

81 = x² + y² + 32

x² + y² = 81 - 32

x² + y² = 49