1/x=4/3x-1

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

1*x^-1-4/3*x^1+1*x^0 = 0

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

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

x^1

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

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

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

DELTA = 19/3

DELTA > 0

x = ((19/3)^(1/2)-1)/(2*(-4/3)) or x = (-(19/3)^(1/2)-1)/(2*(-4/3))

x = -3/8*((19/3)^(1/2)-1) or x = 3/8*((19/3)^(1/2)+1)

x in { -3/8*((19/3)^(1/2)-1), 3/8*((19/3)^(1/2)+1)}

x in { -3/8*((19/3)^(1/2)-1), 3/8*((19/3)^(1/2)+1) }

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