5/2x-1/x

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Solution for 5/2x-1/x equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 10

DELTA > 0

x = (10^(1/2)+0)/(2*(5/2)) or x = (0-10^(1/2))/(2*(5/2))

x = (10^(1/2))/5 or x = (-10^(1/2))/5

x in { (-10^(1/2))/5, (10^(1/2))/5}

x in { (-10^(1/2))/5, (10^(1/2))/5 }

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