(5/x)-(4/5x)=5

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Solution for (5/x)-(4/5x)=5 equation:


D( x )

x = 0

x = 0

x = 0

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

5/x-((4/5)*x) = 5 // - 5

5/x-((4/5)*x)-5 = 0

(-4/5)*x+5/x-5 = 0

5*x^-1-4/5*x^1-5*x^0 = 0

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

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

x^1

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

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

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

DELTA = 41

DELTA > 0

x = (41^(1/2)+5)/(2*(-4/5)) or x = (5-41^(1/2))/(2*(-4/5))

x = -5/8*(41^(1/2)+5) or x = -5/8*(5-41^(1/2))

x in { -5/8*(41^(1/2)+5), -5/8*(5-41^(1/2))}

x in { -5/8*(41^(1/2)+5), -5/8*(5-41^(1/2)) }

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