(x-5)(x-6)=25/24^2

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Solution for (x-5)(x-6)=25/24^2 equation: 


x in (-oo:+oo)

(x-5)*(x-6) = 25/(24^2) // - 25/(24^2)

(x-5)*(x-6)-(25/(24^2)) = 0

(x-5)*(x-6)-25*24^-2 = 0

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

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

576*(x-5)*(x-6)-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 }

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