3/x-1+4/x=2/3x

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Solution for 3/x-1+4/x=2/3x equation:


D( x )

x = 0

x = 0

x = 0

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

3/x+4/x-1 = (2/3)*x // - (2/3)*x

3/x-((2/3)*x)+4/x-1 = 0

(-2/3)*x+3/x+4/x-1 = 0

7*x^-1-2/3*x^1-1*x^0 = 0

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

x^1*(7*x^0-2/3*x^2-1*x^1) = 0

x^1

(-2/3)*x^2-x+7 = 0

(-2/3)*x^2-x+7 = 0

DELTA = (-1)^2-(4*7*(-2/3))

DELTA = 59/3

DELTA > 0

x = ((59/3)^(1/2)+1)/(2*(-2/3)) or x = (1-(59/3)^(1/2))/(2*(-2/3))

x = -3/4*((59/3)^(1/2)+1) or x = -3/4*(1-(59/3)^(1/2))

x in { -3/4*((59/3)^(1/2)+1), -3/4*(1-(59/3)^(1/2))}

x in { -3/4*((59/3)^(1/2)+1), -3/4*(1-(59/3)^(1/2)) }

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