(9x^2-21x-20)/(x-1)

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Solution for (9x^2-21x-20)/(x-1) equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(9*x^2-(21*x)-20)/(x-1) = 0

(9*x^2-21*x-20)/(x-1) = 0

9*x^2-21*x-20 = 0

9*x^2-21*x-20 = 0

DELTA = (-21)^2-(-20*4*9)

DELTA = 1161

DELTA > 0

x = (1161^(1/2)+21)/(2*9) or x = (21-1161^(1/2))/(2*9)

x = (3*129^(1/2)+21)/18 or x = (21-3*129^(1/2))/18

(x-((21-3*129^(1/2))/18))*(x-((3*129^(1/2)+21)/18)) = 0

((x-((21-3*129^(1/2))/18))*(x-((3*129^(1/2)+21)/18)))/(x-1) = 0

( x-((21-3*129^(1/2))/18) )

x-((21-3*129^(1/2))/18) = 0 // + (21-3*129^(1/2))/18

x = (21-3*129^(1/2))/18

( x-((3*129^(1/2)+21)/18) )

x-((3*129^(1/2)+21)/18) = 0 // + (3*129^(1/2)+21)/18

x = (3*129^(1/2)+21)/18

x in { (21-3*129^(1/2))/18, (3*129^(1/2)+21)/18 }

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