(x^2-4x-12)/x-2

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Solution for (x^2-4x-12)/x-2 equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(x^2-(4*x)-12)/x-2 = 0

(x^2-4*x-12)/x-2 = 0

(x^2-4*x-12)/x+(-2*x)/x = 0

x^2-4*x-2*x-12 = 0

x^2-6*x-12 = 0

x^2-6*x-12 = 0

x^2-6*x-12 = 0

DELTA = (-6)^2-(-12*1*4)

DELTA = 84

DELTA > 0

x = (84^(1/2)+6)/(1*2) or x = (6-84^(1/2))/(1*2)

x = (2*21^(1/2)+6)/2 or x = (6-2*21^(1/2))/2

(x-((6-2*21^(1/2))/2))*(x-((2*21^(1/2)+6)/2)) = 0

((x-((6-2*21^(1/2))/2))*(x-((2*21^(1/2)+6)/2)))/x = 0

((x-((6-2*21^(1/2))/2))*(x-((2*21^(1/2)+6)/2)))/x = 0 // * x

(x-((6-2*21^(1/2))/2))*(x-((2*21^(1/2)+6)/2)) = 0

( x-((2*21^(1/2)+6)/2) )

x-((2*21^(1/2)+6)/2) = 0 // + (2*21^(1/2)+6)/2

x = (2*21^(1/2)+6)/2

( x-((6-2*21^(1/2))/2) )

x-((6-2*21^(1/2))/2) = 0 // + (6-2*21^(1/2))/2

x = (6-2*21^(1/2))/2

x in { (2*21^(1/2)+6)/2, (6-2*21^(1/2))/2 }

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