(c-1)^2/3=25

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Solution for (c-1)^2/3=25 equation: 


c in (-oo:+oo)

((c-1)^2)/3 = 25 // - 25

((c-1)^2)/3-25 = 0

((c-1)^2)/3+(-25*3)/3 = 0

(c-1)^2-25*3 = 0

c^2-2*c-74 = 0

c^2-2*c-74 = 0

c^2-2*c-74 = 0

DELTA = (-2)^2-(-74*1*4)

DELTA = 300

DELTA > 0

c = (300^(1/2)+2)/(1*2) or c = (2-300^(1/2))/(1*2)

c = (10*3^(1/2)+2)/2 or c = (2-10*3^(1/2))/2

(c-((2-10*3^(1/2))/2))*(c-((10*3^(1/2)+2)/2)) = 0

((c-((2-10*3^(1/2))/2))*(c-((10*3^(1/2)+2)/2)))/3 = 0

((c-((2-10*3^(1/2))/2))*(c-((10*3^(1/2)+2)/2)))/3 = 0 // * 3

(c-((2-10*3^(1/2))/2))*(c-((10*3^(1/2)+2)/2)) = 0

( c-((10*3^(1/2)+2)/2) )

c-((10*3^(1/2)+2)/2) = 0 // + (10*3^(1/2)+2)/2

c = (10*3^(1/2)+2)/2

( c-((2-10*3^(1/2))/2) )

c-((2-10*3^(1/2))/2) = 0 // + (2-10*3^(1/2))/2

c = (2-10*3^(1/2))/2

c in { (10*3^(1/2)+2)/2, (2-10*3^(1/2))/2 }

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