(4x)-(32/x^2)=0

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Solution for (4x)-(32/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-(32/(x^2)) = 0

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

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

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

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

x^2

4*x^3-32 = 0

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

1

x = 1

4*x^3-32 = -28

1

-1

x = -1

4*x^3-32 = -36

-1

2

x = 2

4*x^3-32 = 0

2

x-2

4*x^2+8*x+16

4*x^3-32

x-2

8*x^2-4*x^3

8*x^2-32

16*x-8*x^2

16*x-32

32-16*x

0

4*x^2+8*x+16 = 0

DELTA = 8^2-(4*4*16)

DELTA = -192

DELTA < 0

x in { 2} 

x = 2

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