Question

X+y = 12 xy=14 find the value of x×x+y×y

Answer 1

x + y = 12

xy = 14

Now ,

x² + y²

= ( x + y )² - 2xy

= ( 12 )² - 2 × 14

= 144 - 28

= 116 [ • Required answer ]

Answer 2

(x+y)^2 = 144

$x {}^{2} + y {}^{2} = 144 - 2xy \\ \\ x {}^{2} + y {}^{2} = 144 - 28 \\ \\ x {}^{2} + y {}^{2} = 116$