(x-2)^2/3=38

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Solution for (x-2)^2/3=38 equation: 


x in (-oo:+oo)

((x-2)^2)/3 = 38 // - 38

((x-2)^2)/3-38 = 0

((x-2)^2)/3+(-38*3)/3 = 0

(x-2)^2-38*3 = 0

x^2-4*x-110 = 0

x^2-4*x-110 = 0

x^2-4*x-110 = 0

DELTA = (-4)^2-(-110*1*4)

DELTA = 456

DELTA > 0

x = (456^(1/2)+4)/(1*2) or x = (4-456^(1/2))/(1*2)

x = (2*114^(1/2)+4)/2 or x = (4-2*114^(1/2))/2

(x-((4-2*114^(1/2))/2))*(x-((2*114^(1/2)+4)/2)) = 0

((x-((4-2*114^(1/2))/2))*(x-((2*114^(1/2)+4)/2)))/3 = 0

((x-((4-2*114^(1/2))/2))*(x-((2*114^(1/2)+4)/2)))/3 = 0 // * 3

(x-((4-2*114^(1/2))/2))*(x-((2*114^(1/2)+4)/2)) = 0

( x-((2*114^(1/2)+4)/2) )

x-((2*114^(1/2)+4)/2) = 0 // + (2*114^(1/2)+4)/2

x = (2*114^(1/2)+4)/2

( x-((4-2*114^(1/2))/2) )

x-((4-2*114^(1/2))/2) = 0 // + (4-2*114^(1/2))/2

x = (4-2*114^(1/2))/2

x in { (2*114^(1/2)+4)/2, (4-2*114^(1/2))/2 }

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