10/x=11/3x-3

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Solution for 10/x=11/3x-3 equation:


D( x )

x = 0

x = 0

x = 0

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

10/x = (11/3)*x-3 // - (11/3)*x-3

10/x-((11/3)*x)+3 = 0

(-11/3)*x+10/x+3 = 0

10*x^-1-11/3*x^1+3*x^0 = 0

(3*x^1-11/3*x^2+10*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^1-11/3*x^2+10*x^0) = 0

x^1

(-11/3)*x^2+3*x+10 = 0

(-11/3)*x^2+3*x+10 = 0

DELTA = 3^2-(4*10*(-11/3))

DELTA = 467/3

DELTA > 0

x = ((467/3)^(1/2)-3)/(2*(-11/3)) or x = (-(467/3)^(1/2)-3)/(2*(-11/3))

x = -3/22*((467/3)^(1/2)-3) or x = 3/22*((467/3)^(1/2)+3)

x in { -3/22*((467/3)^(1/2)-3), 3/22*((467/3)^(1/2)+3)}

x in { -3/22*((467/3)^(1/2)-3), 3/22*((467/3)^(1/2)+3) }

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