4/x^2-4-1/x-2=0

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Solution for 4/x^2-4-1/x-2=0 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)

4/(x^2)-(1/x)-4-2 = 0

4/(x^2)-x^-1-4-2 = 0

4*x^-2-x^-1-6 = 0

t_1 = x^-1

4*t_1^2-1*t_1^1-6 = 0

4*t_1^2-t_1-6 = 0

DELTA = (-1)^2-(-6*4*4)

DELTA = 97

DELTA > 0

t_1 = (97^(1/2)+1)/(2*4) or t_1 = (1-97^(1/2))/(2*4)

t_1 = (97^(1/2)+1)/8 or t_1 = (1-97^(1/2))/8

t_1 = (1-97^(1/2))/8

x^-1-((1-97^(1/2))/8) = 0

1*x^-1 = (1-97^(1/2))/8 // : 1

x^-1 = (1-97^(1/2))/8

-1 < 0

1/(x^1) = (1-97^(1/2))/8 // * x^1

1 = ((1-97^(1/2))/8)*x^1 // : (1-97^(1/2))/8

8*(1-97^(1/2))^-1 = x^1

x = 8*(1-97^(1/2))^-1

t_1 = (97^(1/2)+1)/8

x^-1-((97^(1/2)+1)/8) = 0

1*x^-1 = (97^(1/2)+1)/8 // : 1

x^-1 = (97^(1/2)+1)/8

-1 < 0

1/(x^1) = (97^(1/2)+1)/8 // * x^1

1 = ((97^(1/2)+1)/8)*x^1 // : (97^(1/2)+1)/8

8*(97^(1/2)+1)^-1 = x^1

x = 8*(97^(1/2)+1)^-1

x in { 8*(1-97^(1/2))^-1, 8*(97^(1/2)+1)^-1 }

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