5/x=1+3/1+x

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Solution for 5/x=1+3/1+x equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x = x+3/1+1 // - x+3/1+1

5/x-x-(3/1)-1 = 0

5/x-x-3-1 = 0

5*x^-1-1*x^1-4*x^0 = 0

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

x^1*(5*x^0-1*x^2-4*x^1) = 0

x^1

5-x^2-4*x = 0

5-x^2-4*x = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)+4)/(-1*2) or x = (4-36^(1/2))/(-1*2)

x = -5 or x = 1

x in { -5, 1} 

x in { -5, 1 }

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