(x-1)^2/3=(256)^1/2

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Solution for (x-1)^2/3=(256)^1/2 equation: 


x in (-oo:+oo)

((x-1)^2)/3 = (256^1)/2 // - (256^1)/2

((x-1)^2)/3-((256^1)/2) = 0

((x-1)^2)/3-128 = 0

((x-1)^2)/3+(-128*3)/3 = 0

(x-1)^2-128*3 = 0

x^2-2*x-383 = 0

x^2-2*x-383 = 0

x^2-2*x-383 = 0

DELTA = (-2)^2-(-383*1*4)

DELTA = 1536

DELTA > 0

x = (1536^(1/2)+2)/(1*2) or x = (2-1536^(1/2))/(1*2)

x = (16*6^(1/2)+2)/2 or x = (2-16*6^(1/2))/2

(x-((2-16*6^(1/2))/2))*(x-((16*6^(1/2)+2)/2)) = 0

((x-((2-16*6^(1/2))/2))*(x-((16*6^(1/2)+2)/2)))/3 = 0

((x-((2-16*6^(1/2))/2))*(x-((16*6^(1/2)+2)/2)))/3 = 0 // * 3

(x-((2-16*6^(1/2))/2))*(x-((16*6^(1/2)+2)/2)) = 0

( x-((16*6^(1/2)+2)/2) )

x-((16*6^(1/2)+2)/2) = 0 // + (16*6^(1/2)+2)/2

x = (16*6^(1/2)+2)/2

( x-((2-16*6^(1/2))/2) )

x-((2-16*6^(1/2))/2) = 0 // + (2-16*6^(1/2))/2

x = (2-16*6^(1/2))/2

x in { (16*6^(1/2)+2)/2, (2-16*6^(1/2))/2 }

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