3/x=11/5x+4

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Solution for 3/x=11/5x+4 equation:


D( x )

x = 0

x = 0

x = 0

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

3/x = (11/5)*x+4 // - (11/5)*x+4

3/x-((11/5)*x)-4 = 0

(-11/5)*x+3/x-4 = 0

3*x^-1-11/5*x^1-4*x^0 = 0

(3*x^0-11/5*x^2-4*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-11/5*x^2-4*x^1) = 0

x^1

(-11/5)*x^2-4*x+3 = 0

(-11/5)*x^2-4*x+3 = 0

DELTA = (-4)^2-(3*4*(-11/5))

DELTA = 212/5

DELTA > 0

x = ((212/5)^(1/2)+4)/(2*(-11/5)) or x = (4-(212/5)^(1/2))/(2*(-11/5))

x = -5/22*((212/5)^(1/2)+4) or x = -5/22*(4-(212/5)^(1/2))

x in { -5/22*((212/5)^(1/2)+4), -5/22*(4-(212/5)^(1/2))}

x in { -5/22*((212/5)^(1/2)+4), -5/22*(4-(212/5)^(1/2)) }

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