12+x=32-3/x

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Solution for 12+x=32-3/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x+12 = 32-(3/x) // - 32-(3/x)

x+3/x-32+12 = 0

1*x^1+3*x^-1-20*x^0 = 0

(1*x^2-20*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-20*x^1+3*x^0) = 0

x^1

x^2-20*x+3 = 0

x^2-20*x+3 = 0

DELTA = (-20)^2-(1*3*4)

DELTA = 388

DELTA > 0

x = (388^(1/2)+20)/(1*2) or x = (20-388^(1/2))/(1*2)

x = (2*97^(1/2)+20)/2 or x = (20-2*97^(1/2))/2

x in { (20-2*97^(1/2))/2, (2*97^(1/2)+20)/2} 

x in { (20-2*97^(1/2))/2, (2*97^(1/2)+20)/2 }

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