3/x=x/300

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Solution for 3/x=x/300 equation:


D( x )

x = 0

x = 0

x = 0

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

3/x = x/300 // - x/300

3/x-(x/300) = 0

3*x^-1-1/300*x^1 = 0

(3*x^0-1/300*x^2)/(x^1) = 0 // * x^2

x^1*(3*x^0-1/300*x^2) = 0

x^1

(-1/300)*x^2+3 = 0

(-1/300)*x^2+3 = 0

DELTA = 0^2-(3*4*(-1/300))

DELTA = 1/25

DELTA > 0

x = ((1/25)^(1/2)+0)/(2*(-1/300)) or x = (0-(1/25)^(1/2))/(2*(-1/300))

x = -30 or x = 30

x in { -30, 30}

x in { -30, 30 }

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