3/x+4/2x=7

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Solution for 3/x+4/2x=7 equation: 


D( x )

x = 0

x = 0

x = 0

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

(4/2)*x+3/x = 7 // - 7

(4/2)*x+3/x-7 = 0

2*x^1+3*x^-1-7*x^0 = 0

(2*x^2-7*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-7*x^1+3*x^0) = 0

x^1

2*x^2-7*x+3 = 0

2*x^2-7*x+3 = 0

DELTA = (-7)^2-(2*3*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+7)/(2*2) or x = (7-25^(1/2))/(2*2)

x = 3 or x = 1/2

x in { 1/2, 3} 

x in { 1/2, 3 }

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