If 4x^2+y^2=40 and xy=6, find the value of 2x+y? Share with your friends Share 0 Shruti Tyagi answered this Dear student, We have,(2x+y)on squaring⇒(2x+y)2=4x2+y2⏟+2×2x×y⏝ --[using (a+b)2=a2+b2+2ab]=40+4×6 --[using 4x2+y2=40 and xy=6] =40+24⇒(2x+y)2=64⇒(2x+y)=64⇒(2x+y)=±8 Regards 0 View Full Answer