10x+3/x+5-3x-2/x+5

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Solution for 10x+3/x+5-3x-2/x+5 equation: 


D( x )

x = 0

x = 0

x = 0

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

10*x-(3*x)+3/x-(2/x)+5+5 = 0

10*x-3*x+3/x-2*x^-1+5+5 = 0

7*x^1+1*x^-1+10*x^0 = 0

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

x^1*(7*x^2+10*x^1+1*x^0) = 0

x^1

7*x^2+10*x+1 = 0

7*x^2+10*x+1 = 0

DELTA = 10^2-(1*4*7)

DELTA = 72

DELTA > 0

x = (72^(1/2)-10)/(2*7) or x = (-72^(1/2)-10)/(2*7)

x = (6*2^(1/2)-10)/14 or x = (-6*2^(1/2)-10)/14

x in { (-6*2^(1/2)-10)/14, (6*2^(1/2)-10)/14} 

x in { (-6*2^(1/2)-10)/14, (6*2^(1/2)-10)/14 }

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