1/x-3-3/x-2=4/1-2x

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Solution for 1/x-3-3/x-2=4/1-2x equation:


D( x )

x = 0

x = 0

x = 0

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

1/x-(3/x)-3-2 = 4/1-(2*x) // - 4/1-(2*x)

2*x+1/x-(3/x)-(4/1)-3-2 = 0

2*x+1/x-3*x^-1-4-3-2 = 0

2*x^1-2*x^-1-9*x^0 = 0

(2*x^2-9*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-9*x^1-2*x^0) = 0

x^1

2*x^2-9*x-2 = 0

2*x^2-9*x-2 = 0

DELTA = (-9)^2-(-2*2*4)

DELTA = 97

DELTA > 0

x = (97^(1/2)+9)/(2*2) or x = (9-97^(1/2))/(2*2)

x = (97^(1/2)+9)/4 or x = (9-97^(1/2))/4

x in { (9-97^(1/2))/4, (97^(1/2)+9)/4}

x in { (9-97^(1/2))/4, (97^(1/2)+9)/4 }

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