Question

if x²+y²=40 and xy=6 find the value of 2x+y​

Answer 1

Answer:

Therefore the value of 2x+y is 8.

Step-by-step explanation:

We have,

(2x+y)

2

=(2x)

2

+y

2

+2×2x×y

⇒(2x+y)

2

=(4x

2

+y

2

)+4xy

⇒(2x+y)

2

=40+4×6⇒(2x+y)

2

=64

⇒2x+y=±

64

⇒2x+y=±8