90*x=5/x

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Solution for 90*x=5/x equation: 


D( x )

x = 0

x = 0

x = 0

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

90*x = 5/x // - 5/x

90*x-(5/x) = 0

90*x-5*x^-1 = 0

90*x^1-5*x^-1 = 0

(90*x^2-5*x^0)/(x^1) = 0 // * x^2

x^1*(90*x^2-5*x^0) = 0

x^1

90*x^2-5 = 0

90*x^2-5 = 0

DELTA = 0^2-(-5*4*90)

DELTA = 1800

DELTA > 0

x = (1800^(1/2)+0)/(2*90) or x = (0-1800^(1/2))/(2*90)

x = (2^(1/2))/6 or x = (-2^(1/2))/6

x in { (-2^(1/2))/6, (2^(1/2))/6} 

x in { (-2^(1/2))/6, (2^(1/2))/6 }

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