(x^2-8x+12)/(6x)

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Solution for (x^2-8x+12)/(6x) equation: 


D( x )

6*x = 0

6*x = 0

6*x = 0

6*x = 0 // : 6

x = 0

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

(x^2-(8*x)+12)/(6*x) = 0

(x^2-8*x+12)/(6*x) = 0

x^2-8*x+12 = 0

x^2-8*x+12 = 0

DELTA = (-8)^2-(1*4*12)

DELTA = 16

DELTA > 0

x = (16^(1/2)+8)/(1*2) or x = (8-16^(1/2))/(1*2)

x = 6 or x = 2

(x-2)*(x-6) = 0

((x-2)*(x-6))/(6*x) = 0

( x-2 )

x-2 = 0 // + 2

x = 2

( x-6 )

x-6 = 0 // + 6

x = 6

x in { 2, 6 }

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