41x-52+5=51/x

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Solution for 41x-52+5=51/x equation:


D( x )

x = 0

x = 0

x = 0

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

41*x-52+5 = 51/x // - 51/x

41*x-(51/x)-52+5 = 0

41*x-51*x^-1-52+5 = 0

41*x^1-51*x^-1-47*x^0 = 0

(41*x^2-47*x^1-51*x^0)/(x^1) = 0 // * x^2

x^1*(41*x^2-47*x^1-51*x^0) = 0

x^1

41*x^2-47*x-51 = 0

41*x^2-47*x-51 = 0

DELTA = (-47)^2-(-51*4*41)

DELTA = 10573

DELTA > 0

x = (10573^(1/2)+47)/(2*41) or x = (47-10573^(1/2))/(2*41)

x = (10573^(1/2)+47)/82 or x = (47-10573^(1/2))/82

x in { (47-10573^(1/2))/82, (10573^(1/2)+47)/82}

x in { (47-10573^(1/2))/82, (10573^(1/2)+47)/82 }

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