(((x-1)^2)/3)=7

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Solution for (((x-1)^2)/3)=7 equation: 


x in (-oo:+oo)

((x-1)^2)/3 = 7 // - 7

((x-1)^2)/3-7 = 0

((x-1)^2)/3+(-7*3)/3 = 0

(x-1)^2-7*3 = 0

x^2-2*x-20 = 0

x^2-2*x-20 = 0

x^2-2*x-20 = 0

DELTA = (-2)^2-(-20*1*4)

DELTA = 84

DELTA > 0

x = (84^(1/2)+2)/(1*2) or x = (2-84^(1/2))/(1*2)

x = (2*21^(1/2)+2)/2 or x = (2-2*21^(1/2))/2

(x-((2-2*21^(1/2))/2))*(x-((2*21^(1/2)+2)/2)) = 0

((x-((2-2*21^(1/2))/2))*(x-((2*21^(1/2)+2)/2)))/3 = 0

((x-((2-2*21^(1/2))/2))*(x-((2*21^(1/2)+2)/2)))/3 = 0 // * 3

(x-((2-2*21^(1/2))/2))*(x-((2*21^(1/2)+2)/2)) = 0

( x-((2*21^(1/2)+2)/2) )

x-((2*21^(1/2)+2)/2) = 0 // + (2*21^(1/2)+2)/2

x = (2*21^(1/2)+2)/2

( x-((2-2*21^(1/2))/2) )

x-((2-2*21^(1/2))/2) = 0 // + (2-2*21^(1/2))/2

x = (2-2*21^(1/2))/2

x in { (2*21^(1/2)+2)/2, (2-2*21^(1/2))/2 }

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