(3)/(w^(2)+2w-24)+(1)/(w^(2)+11w+30)

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Solution for (3)/(w^(2)+2w-24)+(1)/(w^(2)+11w+30) equation: 


D( w )

w^2+2*w-24 = 0

w^2+11*w+30 = 0

w^2+2*w-24 = 0

w^2+2*w-24 = 0

w^2+2*w-24 = 0

DELTA = 2^2-(-24*1*4)

DELTA = 100

DELTA > 0

w = (100^(1/2)-2)/(1*2) or w = (-100^(1/2)-2)/(1*2)

w = 4 or w = -6

w^2+11*w+30 = 0

w^2+11*w+30 = 0

w^2+11*w+30 = 0

DELTA = 11^2-(1*4*30)

DELTA = 1

DELTA > 0

w = (1^(1/2)-11)/(1*2) or w = (-1^(1/2)-11)/(1*2)

w = -5 or w = -6

w in (-oo:-6) U (-6:-5) U (-5:4) U (4:+oo)

3/(w^2+2*w-24)+1/(w^2+11*w+30) = 0

w^2+2*w-24 = 0

w^2+2*w-24 = 0

w^2+2*w-24 = 0

DELTA = 2^2-(-24*1*4)

DELTA = 100

DELTA > 0

w = (100^(1/2)-2)/(1*2) or w = (-100^(1/2)-2)/(1*2)

w = 4 or w = -6

(w+6)*(w-4) = 0

w^2+11*w+30 = 0

w^2+11*w+30 = 0

w^2+11*w+30 = 0

DELTA = 11^2-(1*4*30)

DELTA = 1

DELTA > 0

w = (1^(1/2)-11)/(1*2) or w = (-1^(1/2)-11)/(1*2)

w = -5 or w = -6

(w+6)*(w+5) = 0

3/((w+6)*(w-4))+1/((w+6)*(w+5)) = 0

3/((w+6)*(w-4))+(1*(w-4))/((w+6)*(w-4)) = 0

1*(w-4)+3 = 0

w-1 = 0

(w-1)/((w+6)*(w-4)) = 0

(w-1)/((w+6)*(w-4)) = 0 // * (w+6)*(w-4)

w-1 = 0

w-1 = 0 // + 1

w = 1

w = 1

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