d/(d^2-8d-9)=5/(d^2-81)

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Solution for d/(d^2-8d-9)=5/(d^2-81) equation: 


D( d )

d^2-(8*d)-9 = 0

d^2-81 = 0

d^2-(8*d)-9 = 0

d^2-(8*d)-9 = 0

d^2-8*d-9 = 0

d^2-8*d-9 = 0

DELTA = (-8)^2-(-9*1*4)

DELTA = 100

DELTA > 0

d = (100^(1/2)+8)/(1*2) or d = (8-100^(1/2))/(1*2)

d = 9 or d = -1

d^2-81 = 0

d^2-81 = 0

1*d^2 = 81 // : 1

d^2 = 81

d^2 = 81 // ^ 1/2

abs(d) = 9

d = 9 or d = -9

d in (-oo:-9) U (-9:-1) U (-1:9) U (9:+oo)

d/(d^2-(8*d)-9) = 5/(d^2-81) // - 5/(d^2-81)

d/(d^2-(8*d)-9)-(5/(d^2-81)) = 0

d/(d^2-8*d-9)-5*(d^2-81)^-1 = 0

d/(d^2-8*d-9)-5/(d^2-81) = 0

d^2-8*d-9 = 0

d^2-8*d-9 = 0

d^2-8*d-9 = 0

DELTA = (-8)^2-(-9*1*4)

DELTA = 100

DELTA > 0

d = (100^(1/2)+8)/(1*2) or d = (8-100^(1/2))/(1*2)

d = 9 or d = -1

(d+1)*(d-9) = 0

d/((d+1)*(d-9))-5/(d^2-81) = 0

(d*(d^2-81))/((d+1)*(d-9)*(d^2-81))+(-5*(d+1)*(d-9))/((d+1)*(d-9)*(d^2-81)) = 0

d*(d^2-81)-5*(d+1)*(d-9) = 0

d^3-5*d^2-41*d+45 = 0

d^3-5*d^2-41*d+45 = 0

d^3-5*d^2-41*d+45 = 0

{ 1, -1, 3, -3, 5, -5, 9, -9, 15, -15, 45, -45 }

1

d = 1

d^3-5*d^2-41*d+45 = 0

1

d-1

d^2-4*d-45

d^3-5*d^2-41*d+45

d-1

d^2-d^3

45-4*d^2-41*d

4*d^2-4*d

45-45*d

45*d-45

0

d^2-4*d-45 = 0

DELTA = (-4)^2-(-45*1*4)

DELTA = 196

DELTA > 0

d = (196^(1/2)+4)/(1*2) or d = (4-196^(1/2))/(1*2)

d = 9 or d = -5

d in { -5, 9, 1} 

(d+5)*(d-9)*(d-1) = 0

((d+5)*(d-9)*(d-1))/((d+1)*(d-9)*(d^2-81)) = 0

((d+5)*(d-9)*(d-1))/((d+1)*(d-9)*(d^2-81)) = 0 // * (d+1)*(d-9)*(d^2-81)

(d+5)*(d-9)*(d-1) = 0

( d+5 )

d+5 = 0 // - 5

d = -5

( d-1 )

d-1 = 0 // + 1

d = 1

( d-9 )

d-9 = 0 // + 9

d = 9

d in { 9} 

d in { -5, 1 }

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