(2x^3-33x^2+157x-198)/(x-9)

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Solution for (2x^3-33x^2+157x-198)/(x-9) equation:


D( x )

x-9 = 0

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:9) U (9:+oo)

(2*x^3-(33*x^2)+157*x-198)/(x-9) = 0

(2*x^3-33*x^2+157*x-198)/(x-9) = 0

2*x^3-33*x^2+157*x-198 = 0

2*x^3-33*x^2+157*x-198 = 0

{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 11, -11, 18, -18, 22, -22, 33, -33, 66, -66, 99, -99, 198, -198 }

1

x = 1

2*x^3-33*x^2+157*x-198 = -72

1

-1

x = -1

2*x^3-33*x^2+157*x-198 = -390

-1

2

x = 2

2*x^3-33*x^2+157*x-198 = 0

2

x-2

2*x^2-29*x+99

2*x^3-33*x^2+157*x-198

x-2

4*x^2-2*x^3

157*x-29*x^2-198

29*x^2-58*x

99*x-198

198-99*x

0

2*x^2-29*x+99 = 0

DELTA = (-29)^2-(2*4*99)

DELTA = 49

DELTA > 0

x = (49^(1/2)+29)/(2*2) or x = (29-49^(1/2))/(2*2)

x = 9 or x = 11/2

x in { 11/2, 9, 2}

(x-11/2)*(x-9)*(x-2) = 0

(x-11/2)*(x-2) = 0

( x-11/2 )

x-11/2 = 0 // + 11/2

x = 11/2

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 11/2, 2 }

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