5x-10/x-2

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


D( x )

x = 0

x = 0

x = 0

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

5*x-(10/x)-2 = 0

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

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

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

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

x^1

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

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

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

DELTA = 204

DELTA > 0

x = (204^(1/2)+2)/(2*5) or x = (2-204^(1/2))/(2*5)

x = (2*51^(1/2)+2)/10 or x = (2-2*51^(1/2))/10

x in { (2-2*51^(1/2))/10, (2*51^(1/2)+2)/10} 

x in { (2-2*51^(1/2))/10, (2*51^(1/2)+2)/10 }

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