Question

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

Answer 1

Answer:

80

Step-by-step explanation:

Given, x + y = 12

   Square on both sides:

⇒ (x + y)² = 12²

⇒ x² + y² + 2(xy) = 144

⇒ x² + y² + 2(32) = 144    {xy=32}

⇒ x² + y² = 144 - 64

⇒ x² + y² = 80

 Required value of x² + y² is 80