4*x=36/x

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Solution for 4*x=36/x equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x = 36/x // - 36/x

4*x-(36/x) = 0

4*x-36*x^-1 = 0

4*x^1-36*x^-1 = 0

(4*x^2-36*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-36*x^0) = 0

x^1

4*x^2-36 = 0

4*x^2-36 = 0

DELTA = 0^2-(-36*4*4)

DELTA = 576

DELTA > 0

x = (576^(1/2)+0)/(2*4) or x = (0-576^(1/2))/(2*4)

x = 3 or x = -3

x in { -3, 3} 

x in { -3, 3 }

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