5/x+2=x/3

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Solution for 5/x+2=x/3 equation:


D( x )

x = 0

x = 0

x = 0

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

5/x+2 = x/3 // - x/3

5/x-(x/3)+2 = 0

5*x^-1-1/3*x^1+2*x^0 = 0

(2*x^1-1/3*x^2+5*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^1-1/3*x^2+5*x^0) = 0

x^1

(-1/3)*x^2+2*x+5 = 0

(-1/3)*x^2+2*x+5 = 0

DELTA = 2^2-(4*5*(-1/3))

DELTA = 32/3

DELTA > 0

x = ((32/3)^(1/2)-2)/(2*(-1/3)) or x = (-(32/3)^(1/2)-2)/(2*(-1/3))

x = -3/2*((32/3)^(1/2)-2) or x = 3/2*((32/3)^(1/2)+2)

x in { -3/2*((32/3)^(1/2)-2), 3/2*((32/3)^(1/2)+2)}

x in { -3/2*((32/3)^(1/2)-2), 3/2*((32/3)^(1/2)+2) }

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