(x)/2x=(6-x)/x

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Solution for (x)/2x=(6-x)/x equation:


D( x )

x = 0

x = 0

x = 0

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

(x/2)*x = (6-x)/x // - (6-x)/x

(x/2)*x-((6-x)/x) = 0

(-1*(6-x))/x+(x^2)/2 = 0

(-1*2*(6-x))/(2*x)+(x*x^2)/(2*x) = 0

x*x^2-1*2*(6-x) = 0

x^3+2*x-12 = 0

x^3+2*x-12 = 0

x^3+2*x-12 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12 }

1

x = 1

x^3+2*x-12 = -9

1

-1

x = -1

x^3+2*x-12 = -15

-1

2

x = 2

x^3+2*x-12 = 0

2

x-2

x^2+2*x+6

x^3+2*x-12

x-2

2*x^2-x^3

2*x^2+2*x-12

4*x-2*x^2

6*x-12

12-6*x

0

x^2+2*x+6 = 0

DELTA = 2^2-(1*4*6)

DELTA = -20

DELTA < 0

x in { 2}

x-2 = 0

(x-2)/(2*x) = 0

(x-2)/(2*x) = 0 // * 2*x

x-2 = 0

x-2 = 0 // + 2

x = 2

x = 2

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