(5x^2-49x+36)/x-9

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Solution for (5x^2-49x+36)/x-9 equation:


D( x )

x = 0

x = 0

x = 0

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

(5*x^2-(49*x)+36)/x-9 = 0

(5*x^2-49*x+36)/x-9 = 0

(5*x^2-49*x+36)/x+(-9*x)/x = 0

5*x^2-49*x-9*x+36 = 0

5*x^2-58*x+36 = 0

5*x^2-58*x+36 = 0

5*x^2-58*x+36 = 0

DELTA = (-58)^2-(4*5*36)

DELTA = 2644

DELTA > 0

x = (2644^(1/2)+58)/(2*5) or x = (58-2644^(1/2))/(2*5)

x = (2*661^(1/2)+58)/10 or x = (58-2*661^(1/2))/10

(x-((58-2*661^(1/2))/10))*(x-((2*661^(1/2)+58)/10)) = 0

((x-((58-2*661^(1/2))/10))*(x-((2*661^(1/2)+58)/10)))/x = 0

((x-((58-2*661^(1/2))/10))*(x-((2*661^(1/2)+58)/10)))/x = 0 // * x

(x-((58-2*661^(1/2))/10))*(x-((2*661^(1/2)+58)/10)) = 0

( x-((2*661^(1/2)+58)/10) )

x-((2*661^(1/2)+58)/10) = 0 // + (2*661^(1/2)+58)/10

x = (2*661^(1/2)+58)/10

( x-((58-2*661^(1/2))/10) )

x-((58-2*661^(1/2))/10) = 0 // + (58-2*661^(1/2))/10

x = (58-2*661^(1/2))/10

x in { (2*661^(1/2)+58)/10, (58-2*661^(1/2))/10 }

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