Question

como resolvo {x-y=5/12{x×y=16/6

Answer 1

x -y = 5/12

x = (12y +5)/12

x * y = 16/6

(12y +5)/12 * y = 16/6

12y² +5y -32 = 0

$\mathsf{\Delta=b^2-4ac}$

25 -48 * -32

1561

$\mathsf{y = \frac{-b \pm \sqrt{\Delta} }{2a}}$

-5 ± √1561/24

x = (12 * (-5 ± √1561/24) + 5)/12

x = (-5 ± √1561/2 + 5)/12

x = -5 ± √1561/24 + 10/24

x = 5 ± √1561/24

{5 + √1561/24 , -5 + √1561/24}

ou

{5 - √1561/24 , -5 - √1561/24}