x+3/x-10=12/5

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Solution for x+3/x-10=12/5 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+3/x-10 = 12/5 // - 12/5

x+3/x-(12/5)-10 = 0

x+3/x-12/5-10 = 0

1*x^1+3*x^-1-62/5*x^0 = 0

(1*x^2-62/5*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-62/5*x^1+3*x^0) = 0

x^1

x^2+(-62/5)*x+3 = 0

x^2+(-62/5)*x+3 = 0

DELTA = (-62/5)^2-(1*3*4)

DELTA = 3544/25

DELTA > 0

x = ((3544/25)^(1/2)-(-62/5))/(1*2) or x = (-(-62/5)-(3544/25)^(1/2))/(1*2)

x = ((3544/25)^(1/2)+62/5)/2 or x = (62/5-(3544/25)^(1/2))/2

x in { (62/5-(3544/25)^(1/2))/2, ((3544/25)^(1/2)+62/5)/2} 

x in { (62/5-(3544/25)^(1/2))/2, ((3544/25)^(1/2)+62/5)/2 }

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