9=(x-1)^2/3

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Solution for 9=(x-1)^2/3 equation: 


x in (-oo:+oo)

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

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

(-1*(x-1)^2)/3+9 = 0

(-1*(x-1)^2)/3+(3*9)/3 = 0

3*9-1*(x-1)^2 = 0

2*x-x^2+26 = 0

2*x-x^2+26 = 0

2*x-x^2+26 = 0

DELTA = 2^2-(-1*4*26)

DELTA = 108

DELTA > 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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