6/x+5=8/2x

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Solution for 6/x+5=8/2x equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x+5 = (8/2)*x // - (8/2)*x

6/x-((8/2)*x)+5 = 0

6/x-4*x+5 = 0

6*x^-1-4*x^1+5*x^0 = 0

(5*x^1-4*x^2+6*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^1-4*x^2+6*x^0) = 0

x^1

5*x-4*x^2+6 = 0

5*x-4*x^2+6 = 0

DELTA = 5^2-(-4*4*6)

DELTA = 121

DELTA > 0

x = (121^(1/2)-5)/(-4*2) or x = (-121^(1/2)-5)/(-4*2)

x = -3/4 or x = 2

x in { -3/4, 2} 

x in { -3/4, 2 }

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