3(x-5)2/3=27

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Solution for 3(x-5)2/3=27 equation: 


x in (-oo:+oo)

(3*(x-5)^2)/3 = 27 // - 27

(3*(x-5)^2)/3-27 = 0

(x-5)^2-27 = 0

(x-5)^2-27 = 0

x^2-10*x-2 = 0

x^2-10*x-2 = 0

x^2-10*x-2 = 0

DELTA = (-10)^2-(-2*1*4)

DELTA = 108

DELTA > 0

x = (108^(1/2)+10)/(1*2) or x = (10-108^(1/2))/(1*2)

x = (6*3^(1/2)+10)/2 or x = (10-6*3^(1/2))/2

(x-((10-6*3^(1/2))/2))*(x-((6*3^(1/2)+10)/2)) = 0

(x-((10-6*3^(1/2))/2))*(x-((6*3^(1/2)+10)/2)) = 0

( x-((10-6*3^(1/2))/2) )

x-((10-6*3^(1/2))/2) = 0 // + (10-6*3^(1/2))/2

x = (10-6*3^(1/2))/2

( x-((6*3^(1/2)+10)/2) )

x-((6*3^(1/2)+10)/2) = 0 // + (6*3^(1/2)+10)/2

x = (6*3^(1/2)+10)/2

x in { (10-6*3^(1/2))/2, (6*3^(1/2)+10)/2 }

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