3/x+3/2x=7

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 31

DELTA > 0

x = (31^(1/2)+7)/(2*(3/2)) or x = (7-31^(1/2))/(2*(3/2))

x = (31^(1/2)+7)/3 or x = (7-31^(1/2))/3

x in { (7-31^(1/2))/3, (31^(1/2)+7)/3} 

x in { (7-31^(1/2))/3, (31^(1/2)+7)/3 }

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