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

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


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:+oo)

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

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

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

4-1*(x-3)^2 = 0

6*x-x^2-5 = 0

6*x-x^2-5 = 0

6*x-x^2-5 = 0

DELTA = 6^2-(-5*(-1)*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)-6)/(-1*2) or x = (-16^(1/2)-6)/(-1*2)

x = 1 or x = 5

(x-1)*(x-5) = 0

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

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

(x-1)*(x-5) = 0

( x-1 )

x-1 = 0 // + 1

x = 1

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 1, 5 }

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