-(6/X2)-(9/X)=-4/3

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Solution for -(6/X2)-(9/X)=-4/3 equation:


D( X )

X = 0

X^2 = 0

X = 0

X = 0

X^2 = 0

X^2 = 0

1*X^2 = 0 // : 1

X^2 = 0

X = 0

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

-(9/X)-(6/(X^2)) = -4/3 // + -4/3

-(9/X)-(6/(X^2))-(-4/3) = 0

4/3-9*X^-1-6*X^-2 = 0

t_1 = X^-1

4/3-6*t_1^2-9*t_1^1 = 0

4/3-6*t_1^2-9*t_1 = 0

DELTA = (-9)^2-(-6*4/3*4)

DELTA = 113

DELTA > 0

t_1 = (113^(1/2)+9)/(-6*2) or t_1 = (9-113^(1/2))/(-6*2)

t_1 = (113^(1/2)+9)/(-12) or t_1 = (9-113^(1/2))/(-12)

t_1 = (113^(1/2)+9)/(-12)

X^-1-((113^(1/2)+9)/(-12)) = 0

1*X^-1 = (113^(1/2)+9)/(-12) // : 1

X^-1 = (113^(1/2)+9)/(-12)

-1 < 0

1/(X^1) = (113^(1/2)+9)/(-12) // * X^1

1 = ((113^(1/2)+9)/(-12))*X^1 // : (113^(1/2)+9)/(-12)

-12*(113^(1/2)+9)^-1 = X^1

X = -12*(113^(1/2)+9)^-1

t_1 = (9-113^(1/2))/(-12)

X^-1-((9-113^(1/2))/(-12)) = 0

1*X^-1 = (9-113^(1/2))/(-12) // : 1

X^-1 = (9-113^(1/2))/(-12)

-1 < 0

1/(X^1) = (9-113^(1/2))/(-12) // * X^1

1 = ((9-113^(1/2))/(-12))*X^1 // : (9-113^(1/2))/(-12)

-12*(9-113^(1/2))^-1 = X^1

X = -12*(9-113^(1/2))^-1

X in { -12*(113^(1/2)+9)^-1, -12*(9-113^(1/2))^-1 }

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