25/x=x/4

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Solution for 25/x=x/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

25/x = x/4 // - x/4

25/x-(x/4) = 0

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

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

x^1*(25*x^0-1/4*x^2) = 0

x^1

(-1/4)*x^2+25 = 0

(-1/4)*x^2+25 = 0

DELTA = 0^2-(4*25*(-1/4))

DELTA = 25

DELTA > 0

x = (25^(1/2)+0)/(2*(-1/4)) or x = (0-25^(1/2))/(2*(-1/4))

x = -10 or x = 10

x in { -10, 10} 

x in { -10, 10 }

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