Question

If 4 x square + Y square is equal to 40 and X Y is equal to 6 find the value of 2 X + Y​

Answer 1

Answer:

Step-by-step explanation:

" 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  

I hope this helps you.  "