4x-4000/x^2=0

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Solution for 4x-4000/x^2=0 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

4*x-(4000/(x^2)) = 0

4*x-4000*x^-2 = 0

4*x^1-4000*x^-2 = 0

(4*x^3-4000*x^0)/(x^2) = 0 // * x^4

x^2*(4*x^3-4000*x^0) = 0

x^2

4*x^3-4000 = 0

{ 1, -1, 2, -2, 4, -4, 5, -5, 8, -8, 10, -10, 16, -16, 20, -20, 25, -25, 32, -32, 40, -40, 50, -50, 80, -80, 100, -100, 125, -125, 160, -160, 200, -200, 250, -250, 400, -400, 500, -500, 800, -800, 1000, -1000, 2000, -2000, 4000, -4000 }

1

x = 1

4*x^3-4000 = -3996

1

-1

x = -1

4*x^3-4000 = -4004

-1

2

x = 2

4*x^3-4000 = -3968

2

-2

x = -2

4*x^3-4000 = -4032

-2

4

x = 4

4*x^3-4000 = -3744

4

-4

x = -4

4*x^3-4000 = -4256

-4

5

x = 5

4*x^3-4000 = -3500

5

-5

x = -5

4*x^3-4000 = -4500

-5

8

x = 8

4*x^3-4000 = -1952

8

-8

x = -8

4*x^3-4000 = -6048

-8

10

x = 10

4*x^3-4000 = 0

10

x-10

4*x^2+40*x+400

4*x^3-4000

x-10

40*x^2-4*x^3

40*x^2-4000

400*x-40*x^2

400*x-4000

4000-400*x

0

4*x^2+40*x+400 = 0

DELTA = 40^2-(4*4*400)

DELTA = -4800

DELTA < 0

x in { 10} 

x = 10

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