27/x=x*x

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Solution for 27/x=x*x equation: 


D( x )

x = 0

x = 0

x = 0

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

27/x = x*x // - x*x

27/x-(x*x) = 0

27/x-x^2 = 0

27*x^-1-1*x^2 = 0

(27*x^0-1*x^3)/(x^1) = 0 // * x^2

x^1*(27*x^0-1*x^3) = 0

x^1

27-x^3 = 0

{ 1, -1, 3, -3, 9, -9, 27, -27 }

1

x = 1

27-x^3 = 26

1

-1

x = -1

27-x^3 = 28

-1

3

x = 3

27-x^3 = 0

3

x-3

-x^2-3*x-9

27-x^3

x-3

x^3-3*x^2

27-3*x^2

3*x^2-9*x

27-9*x

9*x-27

0

-x^2-3*x-9 = 0

DELTA = (-3)^2-(-9*(-1)*4)

DELTA = -27

DELTA < 0

x in { 3} 

x = 3

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