x+3/x=79/10

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Solution for x+3/x=79/10 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+3/x = 79/10 // - 79/10

x+3/x-(79/10) = 0

x+3/x-79/10 = 0

1*x^1+3*x^-1-79/10*x^0 = 0

(1*x^2-79/10*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-79/10*x^1+3*x^0) = 0

x^1

x^2+(-79/10)*x+3 = 0

x^2+(-79/10)*x+3 = 0

DELTA = (-79/10)^2-(1*3*4)

DELTA = 5041/100

DELTA > 0

x = ((5041/100)^(1/2)-(-79/10))/(1*2) or x = (-(-79/10)-(5041/100)^(1/2))/(1*2)

x = 15/2 or x = 2/5

x in { 2/5, 15/2} 

x in { 2/5, 15/2 }

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