(3x^2-11x-26)/(x-5)

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Solution for (3x^2-11x-26)/(x-5) equation:


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x in (-oo:5) U (5:+oo)

(3*x^2-(11*x)-26)/(x-5) = 0

(3*x^2-11*x-26)/(x-5) = 0

3*x^2-11*x-26 = 0

3*x^2-11*x-26 = 0

DELTA = (-11)^2-(-26*3*4)

DELTA = 433

DELTA > 0

x = (433^(1/2)+11)/(2*3) or x = (11-433^(1/2))/(2*3)

x = (433^(1/2)+11)/6 or x = (11-433^(1/2))/6

(x-((11-433^(1/2))/6))*(x-((433^(1/2)+11)/6)) = 0

((x-((11-433^(1/2))/6))*(x-((433^(1/2)+11)/6)))/(x-5) = 0

( x-((11-433^(1/2))/6) )

x-((11-433^(1/2))/6) = 0 // + (11-433^(1/2))/6

x = (11-433^(1/2))/6

( x-((433^(1/2)+11)/6) )

x-((433^(1/2)+11)/6) = 0 // + (433^(1/2)+11)/6

x = (433^(1/2)+11)/6

x in { (11-433^(1/2))/6, (433^(1/2)+11)/6 }

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