x^1/2-32x^-2

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Solution for x^1/2-32x^-2 equation:


D( x )

x = 0

x = 0

x = 0

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

(x^1)/2-(32*x^-2) = 0

x/2-32*x^-2 = 0

1/2*x^1-32*x^-2 = 0

(1/2*x^3-32*x^0)/(x^2) = 0 // * x^4

x^2*(1/2*x^3-32*x^0) = 0

x^2

(1/2)*x^3-32 = 0

(1/2)*x^3-32 = 0 // * 0

{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32, 64, -64 }

1

x = 1

x^3-64 = -63

1

-1

x = -1

x^3-64 = -65

-1

2

x = 2

x^3-64 = -56

2

-2

x = -2

x^3-64 = -72

-2

4

x = 4

x^3-64 = 0

4

x-4

x^2+4*x+16

x^3-64

x-4

4*x^2-x^3

4*x^2-64

16*x-4*x^2

16*x-64

64-16*x

0

x^2+4*x+16 = 0

DELTA = 4^2-(1*4*16)

DELTA = -48

DELTA < 0

x in { 4}

x = 4

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