(x-6)(x-5)=(5/24)^2

Solution for (x-6)(x-5)=(5/24)^2 equation:

x in (-oo:+oo)

(x-6)*(x-5) = (5/24)^2 // - (5/24)^2

(x-6)*(x-5)-(5/24)^2 = 0

(x-6)*(x-5)-25/576 = 0

(576*(x-6)*(x-5))/576-25/576 = 0

576*(x-6)*(x-5)-25 = 0

576*x^2-6336*x+17255 = 0

576*x^2-6336*x+17255 = 0

576*x^2-6336*x+17255 = 0

DELTA = (-6336)^2-(4*576*17255)

DELTA = 389376

DELTA > 0

x = (389376^(1/2)+6336)/(2*576) or x = (6336-389376^(1/2))/(2*576)

x = 145/24 or x = 119/24

(x-119/24)*(x-145/24) = 0

((x-119/24)*(x-145/24))/576 = 0

((x-119/24)*(x-145/24))/576 = 0 // * 576

(x-119/24)*(x-145/24) = 0

( x-119/24 )

x-119/24 = 0 // + 119/24

x = 119/24

( x-145/24 )

x-145/24 = 0 // + 145/24

x = 145/24

x in { 119/24, 145/24 }