12x-1500/x^2

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Solution for 12x-1500/x^2 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)

12*x-(1500/(x^2)) = 0

12*x-1500*x^-2 = 0

12*x^1-1500*x^-2 = 0

(12*x^3-1500*x^0)/(x^2) = 0 // * x^4

x^2*(12*x^3-1500*x^0) = 0

x^2

12*x^3-1500 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 5, -5, 6, -6, 10, -10, 12, -12, 15, -15, 20, -20, 25, -25, 30, -30, 50, -50, 60, -60, 75, -75, 100, -100, 125, -125, 150, -150, 250, -250, 300, -300, 375, -375, 500, -500, 750, -750, 1500, -1500 }

1

x = 1

12*x^3-1500 = -1488

1

-1

x = -1

12*x^3-1500 = -1512

-1

2

x = 2

12*x^3-1500 = -1404

2

-2

x = -2

12*x^3-1500 = -1596

-2

3

x = 3

12*x^3-1500 = -1176

3

-3

x = -3

12*x^3-1500 = -1824

-3

4

x = 4

12*x^3-1500 = -732

4

-4

x = -4

12*x^3-1500 = -2268

-4

5

x = 5

12*x^3-1500 = 0

5

x-5

12*x^2+60*x+300

12*x^3-1500

x-5

60*x^2-12*x^3

60*x^2-1500

300*x-60*x^2

300*x-1500

1500-300*x

0

12*x^2+60*x+300 = 0

DELTA = 60^2-(4*12*300)

DELTA = -10800

DELTA < 0

x in { 5}

x = 5

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