16-09-2022
Mathematics

contestada

if
[tex] {x}^{2} + {y}^{2} = 11[/tex]
[tex]2xy = 7[/tex]
find the value of
[tex] {x}^{2} + {y}^{2} + 6xy[/tex]

Respuesta :

hirdaya098 hirdaya098

16-09-2022

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

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