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

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Solution for 3-3/(x-2)^2=0 equation:


D( x )

(x-2)^2 = 0

(x-2)^2 = 0

(x-2)^2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

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

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

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

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

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

3*x^2-12*x+9 = 0

3*x^2-12*x+9 = 0

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

x^2-4*x+3 = 0

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

DELTA = 4

DELTA > 0

x = (4^(1/2)+4)/(1*2) or x = (4-4^(1/2))/(1*2)

x = 3 or x = 1

3*(x-1)*(x-3) = 0

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

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

3*(x-1)*(x-3) = 0

( x-1 )

x-1 = 0 // + 1

x = 1

( x-3 )

x-3 = 0 // + 3

x = 3

x in { 1, 3 }

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