(15x^3+2x^2-75)/(3x-5)

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Solution for (15x^3+2x^2-75)/(3x-5) equation: 


D( x )

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x in (-oo:5/3) U (5/3:+oo)

(15*x^3+2*x^2-75)/(3*x-5) = 0

15*x^3+2*x^2-75 = 0

15*x^3+2*x^2-75 = 0

{ 1, -1, 3, -3, 5, -5, 15, -15, 25, -25, 75, -75 }

1

x = 1

15*x^3+2*x^2-75 = -58

1

-1

x = -1

15*x^3+2*x^2-75 = -88

-1

3

x = 3

15*x^3+2*x^2-75 = 348

3

-3

x = -3

15*x^3+2*x^2-75 = -462

-3

5

x = 5

15*x^3+2*x^2-75 = 1850

5

-5

x = -5

15*x^3+2*x^2-75 = -1900

-5

15

x = 15

15*x^3+2*x^2-75 = 51000

15

-15

x = -15

15*x^3+2*x^2-75 = -50250

-15

25

x = 25

15*x^3+2*x^2-75 = 235550

25

-25

x = -25

15*x^3+2*x^2-75 = -233200

-25

75

x = 75

15*x^3+2*x^2-75 = 6339300

75

-75

x = -75

15*x^3+2*x^2-75 = -6316950

-75

{ 1/3, -1/3, 1/5, -1/5, 1/15, -1/15, -1/3, 1/3, -1/5, 1/5, -1/15, 1/15, 3/3, -3/3, 3/5, -3/5, 3/15, -3/15, -3/3, 3/3, -3/5, 3/5, -3/15, 3/15, 5/3, -5/3, 5/5, -5/5, 5/15, -5/15, -5/3, 5/3, -5/5, 5/5, -5/15, 5/15, 15/3, -15/3, 15/5, -15/5, 15/15, -15/15, -15/3, 15/3, -15/5, 15/5, -15/15, 15/15, 25/3, -25/3, 25/5, -25/5, 25/15, -25/15, -25/3, 25/3, -25/5, 25/5, -25/15, 25/15, 75/3, -75/3, 75/5, -75/5, 75/15, -75/15, -75/3, 75/3, -75/5, 75/5, -75/15, 75/15 }

1/3

x

1/3

15*x^3+2*x^2-75 = -74.22222222

1/3

-1/3

x

-1/3

15*x^3+2*x^2-75 = -75.33333334

-1/3

1/5

x

1/5

15*x^3+2*x^2-75 = -74.8

1/5

-1/5

x

-1/5

15*x^3+2*x^2-75 = -75.04

-1/5

1/15

x

1/15

15*x^3+2*x^2-75 = -74.98666667

1/15

-1/15

x

-1/15

15*x^3+2*x^2-75 = -74.99555555

-1/15

-1/3

x

-1/3

15*x^3+2*x^2-75 = -75.33333334

-1/3

1/3

x

1/3

15*x^3+2*x^2-75 = -74.22222222

1/3

-1/5

x

-1/5

15*x^3+2*x^2-75 = -75.04

-1/5

1/5

x

1/5

15*x^3+2*x^2-75 = -74.8

1/5

-1/15

x

-1/15

15*x^3+2*x^2-75 = -74.99555555

-1/15

1/15

x

1/15

15*x^3+2*x^2-75 = -74.98666667

1/15

3/3

x

3/3

15*x^3+2*x^2-75 = -58

3/3

-3/3

x

-3/3

15*x^3+2*x^2-75 = -88

-3/3

3/5

x

3/5

15*x^3+2*x^2-75 = -71.04

3/5

-3/5

x

-3/5

15*x^3+2*x^2-75 = -77.52

-3/5

3/15

x

3/15

15*x^3+2*x^2-75 = -74.8

3/15

-3/15

x

-3/15

15*x^3+2*x^2-75 = -75.04

-3/15

-3/3

x

-3/3

15*x^3+2*x^2-75 = -88

-3/3

3/3

x

3/3

15*x^3+2*x^2-75 = -58

3/3

-3/5

x

-3/5

15*x^3+2*x^2-75 = -77.52

-3/5

3/5

x

3/5

15*x^3+2*x^2-75 = -71.04

3/5

-3/15

x

-3/15

15*x^3+2*x^2-75 = -75.04

-3/15

3/15

x

3/15

15*x^3+2*x^2-75 = -74.8

3/15

5/3

x

5/3

15*x^3+2*x^2-75 = 0

5/3

x-5/3

15*x^2+27*x+45

15*x^3+2*x^2-75

x-5/3

25*x^2-15*x^3

27*x^2-75

45*x-27*x^2

45*x-75

75-45*x

0

15*x^2+27*x+45 = 0

DELTA = 27^2-(4*15*45)

DELTA = -1971

DELTA < 0

x in { 5/3} 

x-5/3 = 0

(x-5/3)/(3*x-5) = 0

x-5/3 = 0 // + 5/3

x = 5/3

x in { 5/3} 

x belongs to the empty set

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