(3x-4)^2/3=4

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Solution for (3x-4)^2/3=4 equation:


x in (-oo:+oo)

((3*x-4)^2)/3 = 4 // - 4

((3*x-4)^2)/3-4 = 0

((3*x-4)^2)/3+(-4*3)/3 = 0

(3*x-4)^2-4*3 = 0

9*x^2-24*x+4 = 0

9*x^2-24*x+4 = 0

9*x^2-24*x+4 = 0

DELTA = (-24)^2-(4*4*9)

DELTA = 432

DELTA > 0

x = (432^(1/2)+24)/(2*9) or x = (24-432^(1/2))/(2*9)

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

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

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

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

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

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

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

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

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

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

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

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

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