(-x^3+95x-50)/(x+10)

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Solution for (-x^3+95x-50)/(x+10) equation:


D( x )

x+10 = 0

x+10 = 0

x+10 = 0

x+10 = 0 // - 10

x = -10

x in (-oo:-10) U (-10:+oo)

((-x)^3+95*x-50)/(x+10) = 0

(95*x-x^3-50)/(x+10) = 0

95*x-x^3-50 = 0

95*x-x^3-50 = 0

{ 1, -1, 2, -2, 5, -5, 10, -10, 25, -25, 50, -50 }

1

x = 1

95*x-x^3-50 = 44

1

-1

x = -1

95*x-x^3-50 = -144

-1

2

x = 2

95*x-x^3-50 = 132

2

-2

x = -2

95*x-x^3-50 = -232

-2

5

x = 5

95*x-x^3-50 = 300

5

-5

x = -5

95*x-x^3-50 = -400

-5

10

x = 10

95*x-x^3-50 = -100

10

-10

x = -10

95*x-x^3-50 = 0

-10

x+10

10*x-x^2-5

95*x-x^3-50

x+10

x^3+10*x^2

10*x^2+95*x-50

-10*x^2-100*x

-5*x-50

5*x+50

0

10*x-x^2-5 = 0

DELTA = 10^2-(-5*(-1)*4)

DELTA = 80

DELTA > 0

x = (80^(1/2)-10)/(-1*2) or x = (-80^(1/2)-10)/(-1*2)

x = (4*5^(1/2)-10)/(-2) or x = (-4*5^(1/2)-10)/(-2)

x in { (4*5^(1/2)-10)/(-2), (-4*5^(1/2)-10)/(-2), -10}

(x-((4*5^(1/2)-10)/(-2)))*(x-((-4*5^(1/2)-10)/(-2)))*(x+10) = 0

(x-((4*5^(1/2)-10)/(-2)))*(x-((-4*5^(1/2)-10)/(-2))) = 0

( x-((-4*5^(1/2)-10)/(-2)) )

x-((-4*5^(1/2)-10)/(-2)) = 0 // + (-4*5^(1/2)-10)/(-2)

x = (-4*5^(1/2)-10)/(-2)

( x-((4*5^(1/2)-10)/(-2)) )

x-((4*5^(1/2)-10)/(-2)) = 0 // + (4*5^(1/2)-10)/(-2)

x = (4*5^(1/2)-10)/(-2)

x in { (-4*5^(1/2)-10)/(-2), (4*5^(1/2)-10)/(-2) }

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