Question

x+y=24
xx+yy=386
then one number is ​

Answer 1

Answer:

5 and 19

Step-by-step explanation:

x+y=24

therefore X=24-y

therefore x²=576+y²-48y

therefore 576+2y²-48y=386

therefore solving this quadratic equation

therefore y =5,19

case-1

y=5

therefore X=19

case 2

y=19

therefore X=5

Answer 2

Answer:

HEY MATE

Step-by-step explanation:

$x \times x + y \times y = 386$

$x ^{2} + y^{2} = 386$

NOW FROM 1ST EQUATION:-

$x + y = 24$

$by \: squaring \: both \: side \: we \: get$

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

$x ^{2} + y ^{2} + 2xy = 576$

$386 + 2xy = 576$

$xy = 95$

$x = 95 \div y$

_______________________________

NOW PUTTING THE VALUE OF X IN EQUATION ONE:-

$x + y = 24$

$95 \div y + y = 24$

BY MULTIPLYING BOTH SIDE BY Y WE GET

$y^{2} - 24y + 95 = 0$

$y^{2} - 19y - 5y + 95 = 0$

$y(y - 19) - 5(y - 19) = 0$

$y = 5 \: and \: 19$

______________________________________________________________

HOPE IT HELPED ✌️❤️

FOLLOW ME IF U WANT :)