Question

If 4x square +y square =40 and xy=6 find the value of 2x+y

Answer 1

Answer:

8 is the answer for the given problem

Answer 2

Answer:

We know that,

( a + b )² = a² + 2ab + b²

According to the problem given,

4x² + y² = 40-------( 1 )

xy = 6----------------( 2 )

Do the square of ( 2x + y ),

( 2x + y )² = ( 2x )² + 2 × 2x×y + y²

= 4x² + 4xy + y²

= 4x² + y² + 4xy

= 40 + 4 × 6

from ( 1 ) and ( 2 )

( 2x + y )² = 40 + 24= 64

Therefore ,

2x + y = ±√64= ± 8

The value of 2x+y= ± 8