1-1/a-6/a^2/1-4/a+3/a^2=0

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Solution for 1-1/a-6/a^2/1-4/a+3/a^2=0 equation:


D( a )

a^2 = 0

a = 0

a^2 = 0

a^2 = 0

1*a^2 = 0 // : 1

a^2 = 0

a = 0

a = 0

a = 0

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

3/(a^2)-(1/a)-(4/a)-((6/(a^2))/1)+1 = 0

3/(a^2)-a^-1-4*a^-1-6*a^-2+1 = 0

1-5*a^-1-3*a^-2 = 0

t_1 = a^-1

1-3*t_1^2-5*t_1^1 = 0

1-3*t_1^2-5*t_1 = 0

DELTA = (-5)^2-(-3*1*4)

DELTA = 37

DELTA > 0

t_1 = (37^(1/2)+5)/(-3*2) or t_1 = (5-37^(1/2))/(-3*2)

t_1 = (37^(1/2)+5)/(-6) or t_1 = (5-37^(1/2))/(-6)

t_1 = (37^(1/2)+5)/(-6)

a^-1-((37^(1/2)+5)/(-6)) = 0

1*a^-1 = (37^(1/2)+5)/(-6) // : 1

a^-1 = (37^(1/2)+5)/(-6)

-1 < 0

1/(a^1) = (37^(1/2)+5)/(-6) // * a^1

1 = ((37^(1/2)+5)/(-6))*a^1 // : (37^(1/2)+5)/(-6)

-6*(37^(1/2)+5)^-1 = a^1

a = -6*(37^(1/2)+5)^-1

t_1 = (5-37^(1/2))/(-6)

a^-1-((5-37^(1/2))/(-6)) = 0

1*a^-1 = (5-37^(1/2))/(-6) // : 1

a^-1 = (5-37^(1/2))/(-6)

-1 < 0

1/(a^1) = (5-37^(1/2))/(-6) // * a^1

1 = ((5-37^(1/2))/(-6))*a^1 // : (5-37^(1/2))/(-6)

-6*(5-37^(1/2))^-1 = a^1

a = -6*(5-37^(1/2))^-1

a in { -6*(37^(1/2)+5)^-1, -6*(5-37^(1/2))^-1 }

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