((9+x)/x)=4x+1

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Solution for ((9+x)/x)=4x+1 equation: 


D( x )

x = 0

x = 0

x = 0

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

(x+9)/x = 4*x+1 // - 4*x+1

(x+9)/x-(4*x)-1 = 0

(x+9)/x-4*x-1 = 0

(x+9)/x+(-4*x*x)/x+(-1*x)/x = 0

x-4*x*x-1*x+9 = 0

x-4*x^2-x+9 = 0

9-4*x^2 = 0

(9-4*x^2)/x = 0

(9-4*x^2)/x = 0 // * x

9-4*x^2 = 0

-4*x^2 = -9 // : -4

x^2 = 9/4

x^2 = 9/4 // ^ 1/2

abs(x) = 3/2

x = 3/2 or x = -3/2

x in { 3/2, -3/2 }

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