5/x+5/2x=6(2x)

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Solution for 5/x+5/2x=6(2x) equation:


D( x )

x = 0

x = 0

x = 0

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

(5/2)*x+5/x = 2*6*x // - 2*6*x

(5/2)*x-(2*6*x)+5/x = 0

(5/2)*x-12*x+5/x = 0

5*x^-1-19/2*x^1 = 0

(5*x^0-19/2*x^2)/(x^1) = 0 // * x^2

x^1*(5*x^0-19/2*x^2) = 0

x^1

(-19/2)*x^2+5 = 0

(-19/2)*x^2+5 = 0

DELTA = 0^2-(4*5*(-19/2))

DELTA = 190

DELTA > 0

x = (190^(1/2)+0)/(2*(-19/2)) or x = (0-190^(1/2))/(2*(-19/2))

x = (190^(1/2))/(-19) or x = (190^(1/2))/19

x in { (190^(1/2))/(-19), (190^(1/2))/19}

x in { (190^(1/2))/(-19), (190^(1/2))/19 }

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