Question

If x+y=12, and xy = 32, find the value of x²+y²​

Answer 1

Answer:

x² + y² = 80

Step-by-step explanation:

GIVEN:

x + y = 12

xy = 32

TO FIND:

x² + y²

SOLUTION:

We know that

(a+b)² = a² + b² + 2ab

(x+y)² = x² + y² + 2xy

=> (12)² = x² + y² + 2×32

=> 144 = x² + y² + 64

=> x² + y² = 144 - 64

x² + y² = 80