Question

If x + y = 12 and xy = 32, Find the value of 2 + ²​

Answer 1

Answer:

80

Step-by-step explanation:

x+y=12 ------(1)

Squaring equation 1 on both sides

 (x+y)² = 12²-----(2)

(a+b)²=a²+2ab+b²

Now comparing (x+y)² with (a+b)² here a=x and b=y

So Equation 2 becomes

 (x+y)² = 12²

 x²+2xy+y² =12²

 x²+y² = 144 - 2xy----(3)

But in question its given that xy= 32

So, substituting xy = 32 in equation 3

  x²+y² =144-2*32

 x²+y² =144-64 = 80