Question

if 4x^2+y^2=a and xy =b find the value of 2x+y

Answer 1

Hi ,

It is given that ,

xy = b -----( 1 )

4x² + y² = a ----( 2 )

Now ,

( 2x + y )² = ( 2x )² + y² + 2 × 2x × y

= 4x² + y² + 4xy

= a + 4b [ from ( 1 ) &(2) ]

2x + y = ± √( a + 4b )

I hope this helps you.
: )

Answer 2

4x² +y² = a

xy = b

________________

4x² +y² + 4xy= a +4b

(2x+y)² = a +4b

2x +y = √(a+4b)

I hope this will help you

By DEVANSH