(1/3)-(1/A)/(3-A)/3

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Solution for (1/3)-(1/A)/(3-A)/3 equation:


D( A )

3-A = 0

A = 0

3-A = 0

3-A = 0

3-A = 0 // - 3

-A = -3 // * -1

A = 3

A = 0

A = 0

A in (-oo:0) U (0:3) U (3:+oo)

1/3-(((1/A)/(3-A))/3) = 0

(-1/3)*A^-1*(3-A)^-1+1/3 = 0

(-1/3*A^-1)/(3-A)+1/3 = 0

(-1/3*3*A^-1)/(3*(3-A))+(1*(3-A))/(3*(3-A)) = 0

1*(3-A)-1/3*3*A^-1 = 0

3-A-A^-1 = 0

3-A-A^-1 = 0

3*A^0-1*A^1-1*A^-1 = 0

(3*A^1-1*A^2-1*A^0)/(A^1) = 0 // * A^2

A^1*(3*A^1-1*A^2-1*A^0) = 0

A^1

3*A-A^2-1 = 0

3*A-A^2-1 = 0

DELTA = 3^2-(-1*(-1)*4)

DELTA = 5

DELTA > 0

A = (5^(1/2)-3)/(-1*2) or A = (-5^(1/2)-3)/(-1*2)

A = (5^(1/2)-3)/(-2) or A = (5^(1/2)+3)/2

A in { (5^(1/2)-3)/(-2), (5^(1/2)+3)/2}

(A-((5^(1/2)-3)/(-2)))*(A-((5^(1/2)+3)/2)) = 0

((A-((5^(1/2)-3)/(-2)))*(A-((5^(1/2)+3)/2)))/(3*(3-A)) = 0

((A-((5^(1/2)-3)/(-2)))*(A-((5^(1/2)+3)/2)))/(3*(3-A)) = 0 // * 3*(3-A)

(A-((5^(1/2)-3)/(-2)))*(A-((5^(1/2)+3)/2)) = 0

( A-((5^(1/2)+3)/2) )

A-((5^(1/2)+3)/2) = 0 // + (5^(1/2)+3)/2

A = (5^(1/2)+3)/2

( A-((5^(1/2)-3)/(-2)) )

A-((5^(1/2)-3)/(-2)) = 0 // + (5^(1/2)-3)/(-2)

A = (5^(1/2)-3)/(-2)

A in { (5^(1/2)+3)/2, (5^(1/2)-3)/(-2) }

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