(x-1)^2/3=49

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Solution for (x-1)^2/3=49 equation: 


x in (-oo:+oo)

((x-1)^2)/3 = 49 // - 49

((x-1)^2)/3-49 = 0

((x-1)^2)/3+(-49*3)/3 = 0

(x-1)^2-49*3 = 0

x^2-2*x-146 = 0

x^2-2*x-146 = 0

x^2-2*x-146 = 0

DELTA = (-2)^2-(-146*1*4)

DELTA = 588

DELTA > 0

x = (588^(1/2)+2)/(1*2) or x = (2-588^(1/2))/(1*2)

x = (14*3^(1/2)+2)/2 or x = (2-14*3^(1/2))/2

(x-((2-14*3^(1/2))/2))*(x-((14*3^(1/2)+2)/2)) = 0

((x-((2-14*3^(1/2))/2))*(x-((14*3^(1/2)+2)/2)))/3 = 0

((x-((2-14*3^(1/2))/2))*(x-((14*3^(1/2)+2)/2)))/3 = 0 // * 3

(x-((2-14*3^(1/2))/2))*(x-((14*3^(1/2)+2)/2)) = 0

( x-((14*3^(1/2)+2)/2) )

x-((14*3^(1/2)+2)/2) = 0 // + (14*3^(1/2)+2)/2

x = (14*3^(1/2)+2)/2

( x-((2-14*3^(1/2))/2) )

x-((2-14*3^(1/2))/2) = 0 // + (2-14*3^(1/2))/2

x = (2-14*3^(1/2))/2

x in { (14*3^(1/2)+2)/2, (2-14*3^(1/2))/2 }

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