4/x=x/36

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Solution for 4/x=x/36 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

4/x-(x/36) = 0

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

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

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

x^1

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

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

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

DELTA = 4/9

DELTA > 0

x = ((4/9)^(1/2)+0)/(2*(-1/36)) or x = (0-(4/9)^(1/2))/(2*(-1/36))

x = -12 or x = 12

x in { -12, 12} 

x in { -12, 12 }

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