10/x+3x=17

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Solution for 10/x+3x=17 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x+10/x = 17 // - 17

3*x+10/x-17 = 0

3*x^1+10*x^-1-17*x^0 = 0

(3*x^2-17*x^1+10*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-17*x^1+10*x^0) = 0

x^1

3*x^2-17*x+10 = 0

3*x^2-17*x+10 = 0

DELTA = (-17)^2-(3*4*10)

DELTA = 169

DELTA > 0

x = (169^(1/2)+17)/(2*3) or x = (17-169^(1/2))/(2*3)

x = 5 or x = 2/3

x in { 2/3, 5} 

x in { 2/3, 5 }

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