Question

if
${x}^{2} + {y}^{2} = 11$
$2xy = 7$
find the value of
${x}^{2} + {y}^{2} + 6xy$
​

Answer 1

Answer:

32

Step-by-step 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