1/a^3=a

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Solution for 1/a^3=a equation:


D( a )

a^3 = 0

a^3 = 0

a^3 = 0

1*a^3 = 0 // : 1

a^3 = 0

a = 0

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

1/(a^3) = a // - a

1/(a^3)-a = 0

1*a^-3-1*a^1 = 0

(1*a^0-1*a^4)/(a^3) = 0 // * a^6

a^3*(1*a^0-1*a^4) = 0

a^3

1-a^4 = 0

{ 1, -1 }

1

a = 1

1-a^4 = 0

1

a-1

-a^3-a^2-a-1

1-a^4

a-1

a^4-a^3

1-a^3

a^3-a^2

1-a^2

a^2-a

1-a

a-1

0

-a^3-a^2-a-1 = 0

{ 1, -1 }

1

a = 1

-a^3-a^2-a-1 = -4

1

-1

a = -1

-a^3-a^2-a-1 = 0

-1

a+1

-a^2-1

-a^3-a^2-a-1

a+1

a^3+a^2

-a-1

a+1

0

-a^2-1 = 0

DELTA = 0^2-(-1*(-1)*4)

DELTA = -4

DELTA < 0

a in { 1, -1}

a in { 1, -1 }

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