1/x=3/9x+3

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Solution for 1/x=3/9x+3 equation:


D( x )

x = 0

x = 0

x = 0

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

1/x = (3/9)*x+3 // - (3/9)*x+3

1/x-((3/9)*x)-3 = 0

(-1/3)*x+1/x-3 = 0

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

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

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

x^1

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

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

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

DELTA = 31/3

DELTA > 0

x = ((31/3)^(1/2)+3)/(2*(-1/3)) or x = (3-(31/3)^(1/2))/(2*(-1/3))

x = -3/2*((31/3)^(1/2)+3) or x = -3/2*(3-(31/3)^(1/2))

x in { -3/2*((31/3)^(1/2)+3), -3/2*(3-(31/3)^(1/2))}

x in { -3/2*((31/3)^(1/2)+3), -3/2*(3-(31/3)^(1/2)) }

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