10x-20/x

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Solution for 10x-20/x equation: 


D( x )

x = 0

x = 0

x = 0

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

10*x-(20/x) = 0

10*x-20*x^-1 = 0

10*x^1-20*x^-1 = 0

(10*x^2-20*x^0)/(x^1) = 0 // * x^2

x^1*(10*x^2-20*x^0) = 0

x^1

10*x^2-20 = 0

10*x^2-20 = 0

DELTA = 0^2-(-20*4*10)

DELTA = 800

DELTA > 0

x = (800^(1/2)+0)/(2*10) or x = (0-800^(1/2))/(2*10)

x = 2^(1/2) or x = -2^(1/2)

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

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

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