x*5=10/x

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Solution for x*5=10/x equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x = 10/x // - 10/x

5*x-(10/x) = 0

5*x-10*x^-1 = 0

5*x^1-10*x^-1 = 0

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

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

x^1

5*x^2-10 = 0

5*x^2-10 = 0

DELTA = 0^2-(-10*4*5)

DELTA = 200

DELTA > 0

x = (200^(1/2)+0)/(2*5) or x = (0-200^(1/2))/(2*5)

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

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

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

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