Akar-akar persamaan kuadrat

jawab
persamaan kuadrat
x² + 5x + k = 0
x1+ x2 = - 5
x1. x2= k

x1/x2+ x2/x1 = -73/24

(x1² + x2²) / (x1.x2) = - 73/24
(x1 +x2)²- 2 x1 x2 / (x1. x2) = - 73/24
((-5)²- 2k )/(k) = -73/24
25 - 2k  / k = - 73/24
24(25 - 2x) = - 73 k
600 - 48k = -73k
25 k  =- 600
k = -24