16/x=x/20

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Solution for 16/x=x/20 equation: 


D( x )

x = 0

x = 0

x = 0

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

16/x = x/20 // - x/20

16/x-(x/20) = 0

16*x^-1-1/20*x^1 = 0

(16*x^0-1/20*x^2)/(x^1) = 0 // * x^2

x^1*(16*x^0-1/20*x^2) = 0

x^1

(-1/20)*x^2+16 = 0

(-1/20)*x^2+16 = 0

DELTA = 0^2-(4*16*(-1/20))

DELTA = 16/5

DELTA > 0

x = ((16/5)^(1/2)+0)/(2*(-1/20)) or x = (0-(16/5)^(1/2))/(2*(-1/20))

x = -10*(16/5)^(1/2) or x = 10*(16/5)^(1/2)

x in { -10*(16/5)^(1/2), 10*(16/5)^(1/2)} 

x in { -10*(16/5)^(1/2), 10*(16/5)^(1/2) }

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