1/3(x^2-6x+9)=2

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Solution for 1/3(x^2-6x+9)=2 equation: 


x in (-oo:+oo)

(1/3)*(x^2-(6*x)+9) = 2 // - 2

(1/3)*(x^2-(6*x)+9)-2 = 0

(1/3)*(x^2-6*x+9)-2 = 0

1/3*(x^2-6*x+9)-2 = 0

1/3*(x^2-6*x+9)-2 = 0

1/3*x^2-2*x+1 = 0

1/3*x^2-2*x+1 = 0

1/3*x^2-2*x+1 = 0

DELTA = (-2)^2-(1/3*1*4)

DELTA = 8/3

DELTA > 0

x = ((8/3)^(1/2)+2)/(1/3*2) or x = (2-(8/3)^(1/2))/(1/3*2)

x = 3/2*((8/3)^(1/2)+2) or x = 3/2*(2-(8/3)^(1/2))

(x-3/2*(2-(8/3)^(1/2)))*(x-3/2*((8/3)^(1/2)+2)) = 0

(x-3/2*(2-(8/3)^(1/2)))*(x-3/2*((8/3)^(1/2)+2)) = 0

( x-3/2*((8/3)^(1/2)+2) )

x-3/2*((8/3)^(1/2)+2) = 0 // + -3/2*((8/3)^(1/2)+2)

x = -(-3/2*((8/3)^(1/2)+2))

x = 3/2*((8/3)^(1/2)+2)

( x-3/2*(2-(8/3)^(1/2)) )

x-3/2*(2-(8/3)^(1/2)) = 0 // + -3/2*(2-(8/3)^(1/2))

x = -(-3/2*(2-(8/3)^(1/2)))

x = 3/2*(2-(8/3)^(1/2))

x in { 3/2*((8/3)^(1/2)+2), 3/2*(2-(8/3)^(1/2)) }

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