(7/9)+(11/9x)=2/x^2

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Solution for (7/9)+(11/9x)=2/x^2 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(11/9)*x+7/9 = 2/(x^2) // - 2/(x^2)

(11/9)*x-(2/(x^2))+7/9 = 0

(11/9)*x-2*x^-2+7/9 = 0

11/9*x^1-2*x^-2+7/9*x^0 = 0

(11/9*x^3+7/9*x^2-2*x^0)/(x^2) = 0 // * x^4

x^2*(11/9*x^3+7/9*x^2-2*x^0) = 0

x^2

(11/9)*x^3+(7/9)*x^2-2 = 0

(11/9)*x^3+(7/9)*x^2-2 = 0 // * 0

{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18 }

1

x = 1

11*x^3+7*x^2-18 = 0

1

x-1

11*x^2+18*x+18

11*x^3+7*x^2-18

x-1

11*x^2-11*x^3

18*x^2-18

18*x-18*x^2

18*x-18

18-18*x

0

11*x^2+18*x+18 = 0

DELTA = 18^2-(4*11*18)

DELTA = -468

DELTA < 0

x in { 1}

x = 1

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