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

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


X in (-oo:+oo)

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

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

(X-5)*(X-6)-5*24^-2 = 0

(X-5)*(X-6)-5/576 = 0

(576*(X-5)*(X-6))/576-5/576 = 0

576*(X-5)*(X-6)-5 = 0

576*X^2-6336*X+17275 = 0

576*X^2-6336*X+17275 = 0

576*X^2-6336*X+17275 = 0

DELTA = (-6336)^2-(4*576*17275)

DELTA = 343296

DELTA > 0

X = (343296^(1/2)+6336)/(2*576) or X = (6336-343296^(1/2))/(2*576)

X = (48*149^(1/2)+6336)/1152 or X = (6336-48*149^(1/2))/1152

(X-((6336-48*149^(1/2))/1152))*(X-((48*149^(1/2)+6336)/1152)) = 0

((X-((6336-48*149^(1/2))/1152))*(X-((48*149^(1/2)+6336)/1152)))/576 = 0

((X-((6336-48*149^(1/2))/1152))*(X-((48*149^(1/2)+6336)/1152)))/576 = 0 // * 576

(X-((6336-48*149^(1/2))/1152))*(X-((48*149^(1/2)+6336)/1152)) = 0

( X-((48*149^(1/2)+6336)/1152) )

X-((48*149^(1/2)+6336)/1152) = 0 // + (48*149^(1/2)+6336)/1152

X = (48*149^(1/2)+6336)/1152

( X-((6336-48*149^(1/2))/1152) )

X-((6336-48*149^(1/2))/1152) = 0 // + (6336-48*149^(1/2))/1152

X = (6336-48*149^(1/2))/1152

X in { (48*149^(1/2)+6336)/1152, (6336-48*149^(1/2))/1152 }

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