1/x=x/16

Simple and best practice solution for 1/x=x/16 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Solution for 1/x=x/16 equation:

D( x )

x = 0

x = 0

x = 0

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

1/x = x/16 // - x/16

1/x-(x/16) = 0

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

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

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

x^1

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

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

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

DELTA = 1/4

DELTA > 0

x = ((1/4)^(1/2)+0)/(2*(-1/16)) or x = (0-(1/4)^(1/2))/(2*(-1/16))

x = -4 or x = 4

x in { -4, 4} 

x in { -4, 4 }

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Simple and best practice solution for 1/x=x/16 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for 1/x=x/16 equation:

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