(x-3)^2/3=100

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Solution for (x-3)^2/3=100 equation: 


x in (-oo:+oo)

((x-3)^2)/3 = 100 // - 100

((x-3)^2)/3-100 = 0

((x-3)^2)/3+(-100*3)/3 = 0

(x-3)^2-100*3 = 0

x^2-6*x-291 = 0

x^2-6*x-291 = 0

x^2-6*x-291 = 0

DELTA = (-6)^2-(-291*1*4)

DELTA = 1200

DELTA > 0

x = (1200^(1/2)+6)/(1*2) or x = (6-1200^(1/2))/(1*2)

x = (20*3^(1/2)+6)/2 or x = (6-20*3^(1/2))/2

(x-((6-20*3^(1/2))/2))*(x-((20*3^(1/2)+6)/2)) = 0

((x-((6-20*3^(1/2))/2))*(x-((20*3^(1/2)+6)/2)))/3 = 0

((x-((6-20*3^(1/2))/2))*(x-((20*3^(1/2)+6)/2)))/3 = 0 // * 3

(x-((6-20*3^(1/2))/2))*(x-((20*3^(1/2)+6)/2)) = 0

( x-((20*3^(1/2)+6)/2) )

x-((20*3^(1/2)+6)/2) = 0 // + (20*3^(1/2)+6)/2

x = (20*3^(1/2)+6)/2

( x-((6-20*3^(1/2))/2) )

x-((6-20*3^(1/2))/2) = 0 // + (6-20*3^(1/2))/2

x = (6-20*3^(1/2))/2

x in { (20*3^(1/2)+6)/2, (6-20*3^(1/2))/2 }

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