(3x^2-21x+11)/(x-6)

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Solution for (3x^2-21x+11)/(x-6) equation:


D( x )

x-6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x in (-oo:6) U (6:+oo)

(3*x^2-(21*x)+11)/(x-6) = 0

(3*x^2-21*x+11)/(x-6) = 0

3*x^2-21*x+11 = 0

3*x^2-21*x+11 = 0

DELTA = (-21)^2-(3*4*11)

DELTA = 309

DELTA > 0

x = (309^(1/2)+21)/(2*3) or x = (21-309^(1/2))/(2*3)

x = (309^(1/2)+21)/6 or x = (21-309^(1/2))/6

(x-((21-309^(1/2))/6))*(x-((309^(1/2)+21)/6)) = 0

((x-((21-309^(1/2))/6))*(x-((309^(1/2)+21)/6)))/(x-6) = 0

( x-((21-309^(1/2))/6) )

x-((21-309^(1/2))/6) = 0 // + (21-309^(1/2))/6

x = (21-309^(1/2))/6

( x-((309^(1/2)+21)/6) )

x-((309^(1/2)+21)/6) = 0 // + (309^(1/2)+21)/6

x = (309^(1/2)+21)/6

x in { (21-309^(1/2))/6, (309^(1/2)+21)/6 }

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