5/1+4/x=x

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Solution for 5/1+4/x=x equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x+5/1 = x // - x

4/x-x+5/1 = 0

4/x-x+5 = 0

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

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

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

x^1

5*x-x^2+4 = 0

5*x-x^2+4 = 0

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

DELTA = 16+25

DELTA = 41

DELTA > 0

x = ((16+25)^(1/2)-5)/(-1*2) or x = (-(16+25)^(1/2)-5)/(-1*2)

x = ((16+25)^(1/2)-5)/(-2) or x = ((16+25)^(1/2)+5)/2

x in { ((16+25)^(1/2)-5)/(-2), ((16+25)^(1/2)+5)/2} 

x in { ((16+25)^(1/2)-5)/(-2), ((16+25)^(1/2)+5)/2 }

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