36x-(36/x^2)=0

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Solution for 36x-(36/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)

36*x-(36/(x^2)) = 0

36*x-36*x^-2 = 0

36*x^1-36*x^-2 = 0

(36*x^3-36*x^0)/(x^2) = 0 // * x^4

x^2*(36*x^3-36*x^0) = 0

x^2

36*x^3-36 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 36, -36 }

1

x = 1

36*x^3-36 = 0

1

x-1

36*x^2+36*x+36

36*x^3-36

x-1

36*x^2-36*x^3

36*x^2-36

36*x-36*x^2

36*x-36

36-36*x

0

36*x^2+36*x+36 = 0

DELTA = 36^2-(4*36*36)

DELTA = -3888

DELTA < 0

x in { 1}

x = 1

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