(8/2x+2)=(3/x-1)

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Solution for (8/2x+2)=(3/x-1) equation:


D( x )

x = 0

x = 0

x = 0

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

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

(8/2)*x-(3/x)+1+2 = 0

(8/2)*x-3*x^-1+1+2 = 0

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

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

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

x^1

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

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

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

DELTA = 57

DELTA > 0

x = (57^(1/2)-3)/(2*4) or x = (-57^(1/2)-3)/(2*4)

x = (57^(1/2)-3)/8 or x = (-(57^(1/2)+3))/8

x in { (-(57^(1/2)+3))/8, (57^(1/2)-3)/8}

x in { (-(57^(1/2)+3))/8, (57^(1/2)-3)/8 }

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