60x-480/x^2=0

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Solution for 60x-480/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)

60*x-(480/(x^2)) = 0

60*x-480*x^-2 = 0

60*x^1-480*x^-2 = 0

(60*x^3-480*x^0)/(x^2) = 0 // * x^4

x^2*(60*x^3-480*x^0) = 0

x^2

60*x^3-480 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 5, -5, 6, -6, 8, -8, 10, -10, 12, -12, 15, -15, 16, -16, 20, -20, 24, -24, 30, -30, 32, -32, 40, -40, 48, -48, 60, -60, 80, -80, 96, -96, 120, -120, 160, -160, 240, -240, 480, -480 }

1

x = 1

60*x^3-480 = -420

1

-1

x = -1

60*x^3-480 = -540

-1

2

x = 2

60*x^3-480 = 0

2

x-2

60*x^2+120*x+240

60*x^3-480

x-2

120*x^2-60*x^3

120*x^2-480

240*x-120*x^2

240*x-480

480-240*x

0

60*x^2+120*x+240 = 0

DELTA = 120^2-(4*60*240)

DELTA = -43200

DELTA < 0

x in { 2}

x = 2

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