(4/(b-3))-(24/(b^2-3b+9))=(4/(b+3))

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Solution for (4/(b-3))-(24/(b^2-3b+9))=(4/(b+3)) equation: 


D( b )

b-3 = 0

b^2-(3*b)+9 = 0

b+3 = 0

b-3 = 0

b-3 = 0

b-3 = 0 // + 3

b = 3

b^2-(3*b)+9 = 0

b^2-(3*b)+9 = 0

b^2-3*b+9 = 0

b^2-3*b+9 = 0

DELTA = (-3)^2-(1*4*9)

DELTA = -27

DELTA < 0

b+3 = 0

b+3 = 0

b+3 = 0 // - 3

b = -3

b in (-oo:-3) U (-3:3) U (3:+oo)

4/(b-3)-(24/(b^2-(3*b)+9)) = 4/(b+3) // - 4/(b+3)

4/(b-3)-(24/(b^2-(3*b)+9))-(4/(b+3)) = 0

4/(b-3)-24*(b^2-3*b+9)^-1-4*(b+3)^-1 = 0

4/(b-3)-24/(b^2-3*b+9)-4/(b+3) = 0

b^2-3*b+9 = 0

b^2-3*b+9 = 0

b^2-3*b+9 = 0

DELTA = (-3)^2-(1*4*9)

DELTA = -27

DELTA < 0

1 = 0

4/(b-3)-4/(b+3)-24 = 0

(4*(b+3))/((b-3)*(b+3))+(-24*(b-3)*(b+3))/((b-3)*(b+3))+(-4*(b-3))/((b-3)*(b+3)) = 0

4*(b+3)-24*(b-3)*(b+3)-4*(b-3) = 0

4*b-24*b^2-4*b+12+228 = 0

240-24*b^2 = 0

(240-24*b^2)/((b-3)*(b+3)) = 0

(240-24*b^2)/((b-3)*(b+3)) = 0 // * (b-3)*(b+3)

240-24*b^2 = 0

-24*b^2 = -240 // : -24

b^2 = 10

b^2 = 10 // ^ 1/2

abs(b) = 10^(1/2)

b = 10^(1/2) or b = -10^(1/2)

b in { 10^(1/2), -10^(1/2) }

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