Question

If


`{x}^(2) + {y}^(2) = 11`

`2xy = 7`
find the value of

`{x}^(2) + {y}^(2) + 6xy`
​

Answer 1

32

Explanation:

x²+y² = 11 equation--(i)

2xy = 7 equation--(ii)

Here,

= x²+y²+6xy

= 11 + 6xy (x²+y² = 11 from equation--(i))

= 11 + 3 × 2xy

= 11 + 3 × 7 (2xy = 7 from equation --(ii))

= 11 + 21

= 32