15x-23/x=41

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Solution for 15x-23/x=41 equation:


D( x )

x = 0

x = 0

x = 0

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

15*x-(23/x) = 41 // - 41

15*x-(23/x)-41 = 0

15*x-23*x^-1-41 = 0

15*x^1-23*x^-1-41*x^0 = 0

(15*x^2-41*x^1-23*x^0)/(x^1) = 0 // * x^2

x^1*(15*x^2-41*x^1-23*x^0) = 0

x^1

15*x^2-41*x-23 = 0

15*x^2-41*x-23 = 0

DELTA = (-41)^2-(-23*4*15)

DELTA = 3061

DELTA > 0

x = (3061^(1/2)+41)/(2*15) or x = (41-3061^(1/2))/(2*15)

x = (3061^(1/2)+41)/30 or x = (41-3061^(1/2))/30

x in { (41-3061^(1/2))/30, (3061^(1/2)+41)/30}

x in { (41-3061^(1/2))/30, (3061^(1/2)+41)/30 }

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