Question

if 4x^2+y^2=20 and xy=6 find the value of 2x+y

Answer 1

Answer:

the correct answer is √22..

Answer 2

Answer:

value of (2x+y)=2√11

Step-by-step explanation:

given 4x²+y²=20 and xy=6

we can write this

(2x)²+y²=20

add both side 4xy

(2x)²+y²+4xy=20+4xy

we know from (A+B)²=A²+B²+2AB

and put value xy=6 given in question

(2x+y)²=20+4×6

(2x+y)²=20+24

(2x+y)²=44

(2x+y)=√44

(2x+y)=2√11