(3/x+5)-(11/3x-1)=-1

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Solution for (3/x+5)-(11/3x-1)=-1 equation:


D( x )

x = 0

x = 0

x = 0

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

3/x-((11/3)*x)+1+5 = -1 // + 1

3/x-((11/3)*x)+1+1+5 = 0

(-11/3)*x+3/x+1+1+5 = 0

3*x^-1-11/3*x^1+7*x^0 = 0

(7*x^1-11/3*x^2+3*x^0)/(x^1) = 0 // * x^2

x^1*(7*x^1-11/3*x^2+3*x^0) = 0

x^1

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

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

DELTA = 7^2-(3*4*(-11/3))

DELTA = 93

DELTA > 0

x = (93^(1/2)-7)/(2*(-11/3)) or x = (-93^(1/2)-7)/(2*(-11/3))

x = -3/22*(93^(1/2)-7) or x = 3/22*(93^(1/2)+7)

x in { -3/22*(93^(1/2)-7), 3/22*(93^(1/2)+7)}

x in { -3/22*(93^(1/2)-7), 3/22*(93^(1/2)+7) }

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