2/x=x/32

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Solution for 2/x=x/32 equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x = x/32 // - x/32

2/x-(x/32) = 0

2*x^-1-1/32*x^1 = 0

(2*x^0-1/32*x^2)/(x^1) = 0 // * x^2

x^1*(2*x^0-1/32*x^2) = 0

x^1

(-1/32)*x^2+2 = 0

(-1/32)*x^2+2 = 0

DELTA = 0^2-(2*4*(-1/32))

DELTA = 1/4

DELTA > 0

x = ((1/4)^(1/2)+0)/(2*(-1/32)) or x = (0-(1/4)^(1/2))/(2*(-1/32))

x = -8 or x = 8

x in { -8, 8} 

x in { -8, 8 }

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