3/4x=2/x-1

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 7

DELTA > 0

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

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

x in { -2/3*(7^(1/2)+1), 2/3*(7^(1/2)-1)}

x in { -2/3*(7^(1/2)+1), 2/3*(7^(1/2)-1) }

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