13x/2=1/x

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Solution for 13x/2=1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(13*x)/2 = 1/x // - 1/x

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

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

13/2*x^1-1*x^-1 = 0

(13/2*x^2-1*x^0)/(x^1) = 0 // * x^2

x^1*(13/2*x^2-1*x^0) = 0

x^1

(13/2)*x^2-1 = 0

(13/2)*x^2-1 = 0

DELTA = 0^2-(-1*4*(13/2))

DELTA = 26

DELTA > 0

x = (26^(1/2)+0)/(2*(13/2)) or x = (0-26^(1/2))/(2*(13/2))

x = (26^(1/2))/13 or x = (-26^(1/2))/13

x in { (-26^(1/2))/13, (26^(1/2))/13} 

x in { (-26^(1/2))/13, (26^(1/2))/13 }

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