(a^6-3a^4)/(3a^4)

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Solution for (a^6-3a^4)/(3a^4) equation:


D( a )

3*a^4 = 0

3*a^4 = 0

3*a^4 = 0

3*a^4 = 0 // : 3

a^4 = 0

a = 0

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

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

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

a^6-3*a^4 = 0

a^4*(a^2-3) = 0

1*a^2 = 3 // : 1

a^2 = 3

a^2 = 3 // ^ 1/2

abs(a) = 3^(1/2)

a = 3^(1/2) or a = -3^(1/2)

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

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

( a+3^(1/2) )

a+3^(1/2) = 0 // - 3^(1/2)

a = -3^(1/2)

( a-3^(1/2) )

a-3^(1/2) = 0 // + 3^(1/2)

a = 3^(1/2)

( a^4 )

1*a^4 = 0 // : 1

a^4 = 0

a = 0

a in { 0}

a in { -3^(1/2), 3^(1/2) }

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