(1-3x)^2/3=25

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Solution for (1-3x)^2/3=25 equation:


x in (-oo:+oo)

((1-(3*x))^2)/3 = 25 // - 25

((1-(3*x))^2)/3-25 = 0

((1-3*x)^2)/3-25 = 0

((1-3*x)^2)/3+(-25*3)/3 = 0

(1-3*x)^2-25*3 = 0

9*x^2-6*x-74 = 0

9*x^2-6*x-74 = 0

9*x^2-6*x-74 = 0

DELTA = (-6)^2-(-74*4*9)

DELTA = 2700

DELTA > 0

x = (2700^(1/2)+6)/(2*9) or x = (6-2700^(1/2))/(2*9)

x = (30*3^(1/2)+6)/18 or x = (6-30*3^(1/2))/18

(x-((6-30*3^(1/2))/18))*(x-((30*3^(1/2)+6)/18)) = 0

((x-((6-30*3^(1/2))/18))*(x-((30*3^(1/2)+6)/18)))/3 = 0

((x-((6-30*3^(1/2))/18))*(x-((30*3^(1/2)+6)/18)))/3 = 0 // * 3

(x-((6-30*3^(1/2))/18))*(x-((30*3^(1/2)+6)/18)) = 0

( x-((30*3^(1/2)+6)/18) )

x-((30*3^(1/2)+6)/18) = 0 // + (30*3^(1/2)+6)/18

x = (30*3^(1/2)+6)/18

( x-((6-30*3^(1/2))/18) )

x-((6-30*3^(1/2))/18) = 0 // + (6-30*3^(1/2))/18

x = (6-30*3^(1/2))/18

x in { (30*3^(1/2)+6)/18, (6-30*3^(1/2))/18 }

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