2/x+1/2x=7

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Solution for 2/x+1/2x=7 equation: 


D( x )

x = 0

x = 0

x = 0

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

(1/2)*x+2/x = 7 // - 7

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

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

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

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

x^1

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

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

DELTA = (-7)^2-(2*4*(1/2))

DELTA = 45

DELTA > 0

x = (45^(1/2)+7)/(2*(1/2)) or x = (7-45^(1/2))/(2*(1/2))

x = 3*5^(1/2)+7 or x = 7-3*5^(1/2)

x in { 7-3*5^(1/2), 3*5^(1/2)+7} 

x in { 7-3*5^(1/2), 3*5^(1/2)+7 }

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