(3x-2)^2/3=16

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Solution for (3x-2)^2/3=16 equation:


x in (-oo:+oo)

((3*x-2)^2)/3 = 16 // - 16

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

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

(3*x-2)^2-16*3 = 0

9*x^2-12*x-44 = 0

9*x^2-12*x-44 = 0

9*x^2-12*x-44 = 0

DELTA = (-12)^2-(-44*4*9)

DELTA = 1728

DELTA > 0

x = (1728^(1/2)+12)/(2*9) or x = (12-1728^(1/2))/(2*9)

x = (24*3^(1/2)+12)/18 or x = (12-24*3^(1/2))/18

(x-((12-24*3^(1/2))/18))*(x-((24*3^(1/2)+12)/18)) = 0

((x-((12-24*3^(1/2))/18))*(x-((24*3^(1/2)+12)/18)))/3 = 0

((x-((12-24*3^(1/2))/18))*(x-((24*3^(1/2)+12)/18)))/3 = 0 // * 3

(x-((12-24*3^(1/2))/18))*(x-((24*3^(1/2)+12)/18)) = 0

( x-((12-24*3^(1/2))/18) )

x-((12-24*3^(1/2))/18) = 0 // + (12-24*3^(1/2))/18

x = (12-24*3^(1/2))/18

( x-((24*3^(1/2)+12)/18) )

x-((24*3^(1/2)+12)/18) = 0 // + (24*3^(1/2)+12)/18

x = (24*3^(1/2)+12)/18

x in { (12-24*3^(1/2))/18, (24*3^(1/2)+12)/18 }

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