((3w-3)/(w^2-1))+6-2w=0

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Solution for ((3w-3)/(w^2-1))+6-2w=0 equation:


D( w )

w^2-1 = 0

w^2-1 = 0

w^2-1 = 0

1*w^2 = 1 // : 1

w^2 = 1

w^2 = 1 // ^ 1/2

abs(w) = 1

w = 1 or w = -1

w in (-oo:-1) U (-1:1) U (1:+oo)

(3*w-3)/(w^2-1)-(2*w)+6 = 0

(3*w-3)/(w^2-1)-2*w+6 = 0

(3*w-3)/(w^2-1)+(-2*w*(w^2-1))/(w^2-1)+(6*(w^2-1))/(w^2-1) = 0

6*(w^2-1)-2*w*(w^2-1)+3*w-3 = 0

6*w^2-2*w^3+5*w-6-3 = 0

6*w^2-2*w^3+5*w-9 = 0

6*w^2-2*w^3+5*w-9 = 0

6*w^2-2*w^3+5*w-9 = 0

{ 1, -1, 3, -3, 9, -9 }

1

w = 1

6*w^2-2*w^3+5*w-9 = 0

1

w-1

4*w-2*w^2+9

6*w^2-2*w^3+5*w-9

w-1

2*w^3-2*w^2

4*w^2+5*w-9

4*w-4*w^2

9*w-9

9-9*w

0

4*w-2*w^2+9 = 0

DELTA = 4^2-(-2*4*9)

DELTA = 88

DELTA > 0

w = (88^(1/2)-4)/(-2*2) or w = (-88^(1/2)-4)/(-2*2)

w = (2*22^(1/2)-4)/(-4) or w = (-2*22^(1/2)-4)/(-4)

w in { (2*22^(1/2)-4)/(-4), (-2*22^(1/2)-4)/(-4), 1}

(w-((2*22^(1/2)-4)/(-4)))*(w-((-2*22^(1/2)-4)/(-4)))*(w-1) = 0

((w-((2*22^(1/2)-4)/(-4)))*(w-((-2*22^(1/2)-4)/(-4)))*(w-1))/(w^2-1) = 0

((w-((2*22^(1/2)-4)/(-4)))*(w-((-2*22^(1/2)-4)/(-4)))*(w-1))/(w^2-1) = 0 // * w^2-1

(w-((2*22^(1/2)-4)/(-4)))*(w-((-2*22^(1/2)-4)/(-4)))*(w-1) = 0

( w-((-2*22^(1/2)-4)/(-4)) )

w-((-2*22^(1/2)-4)/(-4)) = 0 // + (-2*22^(1/2)-4)/(-4)

w = (-2*22^(1/2)-4)/(-4)

( w-((2*22^(1/2)-4)/(-4)) )

w-((2*22^(1/2)-4)/(-4)) = 0 // + (2*22^(1/2)-4)/(-4)

w = (2*22^(1/2)-4)/(-4)

( w-1 )

w-1 = 0 // + 1

w = 1

w in { 1}

w in { (-2*22^(1/2)-4)/(-4), (2*22^(1/2)-4)/(-4) }

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