a/8-4/a^2/4

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Solution for a/8-4/a^2/4 equation: 


D( a )

a^2 = 0

a^2 = 0

a^2 = 0

1*a^2 = 0 // : 1

a^2 = 0

a = 0

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

a/8-((4/(a^2))/4) = 0

a/8-a^-2 = 0

1/8*a^1-1*a^-2 = 0

(1/8*a^3-1*a^0)/(a^2) = 0 // * a^4

a^2*(1/8*a^3-1*a^0) = 0

a^2

(1/8)*a^3-1 = 0

(1/8)*a^3-1 = 0 // * 0

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

1

a = 1

a^3-8 = -7

1

-1

a = -1

a^3-8 = -9

-1

2

a = 2

a^3-8 = 0

2

a-2

a^2+2*a+4

a^3-8

a-2

2*a^2-a^3

2*a^2-8

4*a-2*a^2

4*a-8

8-4*a

0

a^2+2*a+4 = 0

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

DELTA = -12

DELTA < 0

a in { 2} 

a = 2

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