(x-9)^2/3=25

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Solution for (x-9)^2/3=25 equation:


x in (-oo:+oo)

((x-9)^2)/3 = 25 // - 25

((x-9)^2)/3-25 = 0

((x-9)^2)/3+(-25*3)/3 = 0

(x-9)^2-25*3 = 0

x^2-18*x+6 = 0

x^2-18*x+6 = 0

x^2-18*x+6 = 0

DELTA = (-18)^2-(1*4*6)

DELTA = 300

DELTA > 0

x = (300^(1/2)+18)/(1*2) or x = (18-300^(1/2))/(1*2)

x = (10*3^(1/2)+18)/2 or x = (18-10*3^(1/2))/2

(x-((18-10*3^(1/2))/2))*(x-((10*3^(1/2)+18)/2)) = 0

((x-((18-10*3^(1/2))/2))*(x-((10*3^(1/2)+18)/2)))/3 = 0

((x-((18-10*3^(1/2))/2))*(x-((10*3^(1/2)+18)/2)))/3 = 0 // * 3

(x-((18-10*3^(1/2))/2))*(x-((10*3^(1/2)+18)/2)) = 0

( x-((10*3^(1/2)+18)/2) )

x-((10*3^(1/2)+18)/2) = 0 // + (10*3^(1/2)+18)/2

x = (10*3^(1/2)+18)/2

( x-((18-10*3^(1/2))/2) )

x-((18-10*3^(1/2))/2) = 0 // + (18-10*3^(1/2))/2

x = (18-10*3^(1/2))/2

x in { (10*3^(1/2)+18)/2, (18-10*3^(1/2))/2 }

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