2x+5=-1/x

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Solution for 2x+5=-1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+5 = -1/x // + -1/x

2*x-(-1/x)+5 = 0

2*x+x^-1+5 = 0

2*x^1+1*x^-1+5*x^0 = 0

(2*x^2+5*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2+5*x^1+1*x^0) = 0

x^1

2*x^2+5*x+1 = 0

2*x^2+5*x+1 = 0

DELTA = 5^2-(1*2*4)

DELTA = 17

DELTA > 0

x = (17^(1/2)-5)/(2*2) or x = (-17^(1/2)-5)/(2*2)

x = (17^(1/2)-5)/4 or x = (-(17^(1/2)+5))/4

x in { (-(17^(1/2)+5))/4, (17^(1/2)-5)/4} 

x in { (-(17^(1/2)+5))/4, (17^(1/2)-5)/4 }

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