5x+2/x-10

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Solution for 5x+2/x-10 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x+2/x-10 = 0

5*x^1+2*x^-1-10*x^0 = 0

(5*x^2-10*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-10*x^1+2*x^0) = 0

x^1

5*x^2-10*x+2 = 0

5*x^2-10*x+2 = 0

DELTA = (-10)^2-(2*4*5)

DELTA = 60

DELTA > 0

x = (60^(1/2)+10)/(2*5) or x = (10-60^(1/2))/(2*5)

x = (2*15^(1/2)+10)/10 or x = (10-2*15^(1/2))/10

x in { (10-2*15^(1/2))/10, (2*15^(1/2)+10)/10} 

x in { (10-2*15^(1/2))/10, (2*15^(1/2)+10)/10 }

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