158=((0.78)^2(0.39))/(x-0.78)^2

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Solution for 158=((0.78)^2(0.39))/(x-0.78)^2 equation: 


D( x )

(x-0.78)^2 = 0

(x-0.78)^2 = 0

(x-0.78)^2 = 0

x-0.78 = 0 // + 0.78

x = 0.78

x in (-oo:0.78) U (0.78:+oo)

158 = (0.39*0.78^2)/((x-0.78)^2) // - (0.39*0.78^2)/((x-0.78)^2)

158-((0.39*0.78^2)/((x-0.78)^2)) = 0

158-0.39*0.78^2*(x-0.78)^-2 = 0

(-0.39*0.78^2)/((x-0.78)^2)+158 = 0

(-0.39*0.78^2)/((x-0.78)^2)+(158*(x-0.78)^2)/((x-0.78)^2) = 0

158*(x-0.78)^2-0.39*0.78^2 = 0

158*x^2-246.48*x+157.61*0.78^2 = 0

158*x^2-246.48*x+157.61*0.78^2 = 0

158*x^2-246.48*x+157.61*0.78^2 = 0

DELTA = (-246.48)^2-(4*157.61*158*0.78^2)

DELTA = 246.48^2-99609.52*0.78^2

DELTA = 149.958432

DELTA > 0

x = ((246.48^2-99609.52*0.78^2)^(1/2)+246.48)/(2*158) or x = (246.48-(246.48^2-99609.52*0.78^2)^(1/2))/(2*158)

x = ((246.48^2-99609.52*0.78^2)^(1/2)+246.48)/316 or x = (246.48-(246.48^2-99609.52*0.78^2)^(1/2))/316

(x-((246.48-(246.48^2-99609.52*0.78^2)^(1/2))/316))*(x-(((246.48^2-99609.52*0.78^2)^(1/2)+246.48)/316)) = 0

((x-((246.48-(246.48^2-99609.52*0.78^2)^(1/2))/316))*(x-(((246.48^2-99609.52*0.78^2)^(1/2)+246.48)/316)))/((x-0.78)^2) = 0

((x-((246.48-(246.48^2-99609.52*0.78^2)^(1/2))/316))*(x-(((246.48^2-99609.52*0.78^2)^(1/2)+246.48)/316)))/((x-0.78)^2) = 0 // * (x-0.78)^2

(x-((246.48-(246.48^2-99609.52*0.78^2)^(1/2))/316))*(x-(((246.48^2-99609.52*0.78^2)^(1/2)+246.48)/316)) = 0

( x-(((246.48^2-99609.52*0.78^2)^(1/2)+246.48)/316) )

x-(((246.48^2-99609.52*0.78^2)^(1/2)+246.48)/316) = 0 // + ((246.48^2-99609.52*0.78^2)^(1/2)+246.48)/316

x = ((246.48^2-99609.52*0.78^2)^(1/2)+246.48)/316

( x-((246.48-(246.48^2-99609.52*0.78^2)^(1/2))/316) )

x-((246.48-(246.48^2-99609.52*0.78^2)^(1/2))/316) = 0 // + (246.48-(246.48^2-99609.52*0.78^2)^(1/2))/316

x = (246.48-(246.48^2-99609.52*0.78^2)^(1/2))/316

x in { ((246.48^2-99609.52*0.78^2)^(1/2)+246.48)/316, (246.48-(246.48^2-99609.52*0.78^2)^(1/2))/316 }

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