Question

if x minus y equals to 6 and x y equals to 24 then find the value of x + Y​

Answer 1

Answer:

IT is + or - 11

Answer 2

$\huge\pink{ \sf{ANSWER}}$

$\sf{ \underline{given}} \\ { \sf{ \: x - y = 6}} \\ { \sf{xy = 24}}$

$\sf{ {(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy}$

$\sf{ {6}^{2} = {x}^{2} + {y}^{2} - 2(24)}$

$\sf{ 36 = {x}^{2} + {y}^{2} - 48}$

$\sf{{x}^{2} + {y}^{2} =84 }$

$\sf{ {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy}$

$\sf{ {(x + y)}^{2} = 84 +2(24) }$

$\sf{ {(x + y)}^{2} = 84 +48}$

$\sf{ {(x + y)}^{2} = 132}$

$\sf{ {(x + y)} = \sqrt{ 132}}$

$\sf{ {x + y} = 2\sqrt{ 33}}$