4/x+1/2x=5

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Solution for 4/x+1/2x=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 17

DELTA > 0

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

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

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

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

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