3(x-1)^2=5/27

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Solution for 3(x-1)^2=5/27 equation: 


x in (-oo:+oo)

3*(x-1)^2 = 5/27 // - 5/27

3*(x-1)^2-(5/27) = 0

3*(x-1)^2-5/27 = 0

(3*27*(x-1)^2)/27-5/27 = 0

3*27*(x-1)^2-5 = 0

81*x^2-162*x+76 = 0

81*x^2-162*x+76 = 0

81*x^2-162*x+76 = 0

DELTA = (-162)^2-(4*76*81)

DELTA = 1620

DELTA > 0

x = (1620^(1/2)+162)/(2*81) or x = (162-1620^(1/2))/(2*81)

x = (18*5^(1/2)+162)/162 or x = (162-18*5^(1/2))/162

(x-((162-18*5^(1/2))/162))*(x-((18*5^(1/2)+162)/162)) = 0

((x-((162-18*5^(1/2))/162))*(x-((18*5^(1/2)+162)/162)))/27 = 0

((x-((162-18*5^(1/2))/162))*(x-((18*5^(1/2)+162)/162)))/27 = 0 // * 27

(x-((162-18*5^(1/2))/162))*(x-((18*5^(1/2)+162)/162)) = 0

( x-((162-18*5^(1/2))/162) )

x-((162-18*5^(1/2))/162) = 0 // + (162-18*5^(1/2))/162

x = (162-18*5^(1/2))/162

( x-((18*5^(1/2)+162)/162) )

x-((18*5^(1/2)+162)/162) = 0 // + (18*5^(1/2)+162)/162

x = (18*5^(1/2)+162)/162

x in { (162-18*5^(1/2))/162, (18*5^(1/2)+162)/162 }

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