Question

if x + y = 12 and xy= 3, find the value of ( x2 + y2) full explanation​

Answer 1

$\bold{\boxed{Answer» 138}}$

GIVEN,

• x+y= 12
• xy =3

• TO FIND : the value of ( x²+ y²)

______________ SOLUTION:__________

As we know that ,

(x+y)² = x²+2xy+y².

=> (x+y)² = (x²+y²)+2xy

now , putting the values we get ,

12²= (x²+y²) + 2 × 3

=> 144 = (x²+y²)+ 6

=> (x²+y²)= 144-6

=> (x²+y²)= 138

✓