What is the answer to 0= 1/((s+1))+1/((s+3))+1/((s+5)) ?

The answer to 0= 1/((s+1))+1/((s+3))+1/((s+5)) is s=(-9+2sqrt(3))/3 ,s=-(9+2sqrt(3))/3

Solve for s: 0= 1/((s+1))+1/((s+3))+1/((s+5))

The solution is s=(-9+2sqrt(3))/3 ,s=-(9+2sqrt(3))/3

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0 = \frac{1}{( s + 1 )} + \frac{1}{( s + 3 )} + \frac{1}{( s + 5 )}

s = \frac{- 9 + 2 3}{3}, s = - \frac{9 + 2 3}{3}

Decimal Notation

s = - 1.84529 \dots, s = - 4.15470 \dots

Solution steps

0 = \frac{1}{( s + 1 )} + \frac{1}{( s + 3 )} + \frac{1}{( s + 5 )}

Multiply by LCM

0 = (s + 3) (s + 5) + (s + 1) (s + 5) + (s + 1) (s + 3)

Solve

0 = (s + 3) (s + 5) + (s + 1) (s + 5) + (s + 1) (s + 3) : s = \frac{- 9 + 2 3}{3}, s = - \frac{9 + 2 3}{3}

s = \frac{- 9 + 2 3}{3}, s = - \frac{9 + 2 3}{3}

Verify Solutions

Find undefined (singularity) points:

s = - 1, s = - 3, s = - 5

Combine undefined points with solutions:

s = \frac{- 9 + 2 3}{3}, s = - \frac{9 + 2 3}{3}

\frac{x}{2 - 1} = \frac{2}{3 x ^{2}}

1.4 = \frac{0 t + 1}{2 ( 10 ) t ^{2}}

\frac{51}{4 - y} = 3

\frac{( \frac{3}{( x - 1 )} ) + 4}{x} = 2

\frac{x}{23 x} = (16 mod 107)

What is the answer to 0= 1/((s+1))+1/((s+3))+1/((s+5)) ?
The answer to 0= 1/((s+1))+1/((s+3))+1/((s+5)) is s=(-9+2sqrt(3))/3 ,s=-(9+2sqrt(3))/3
Solve for s: 0= 1/((s+1))+1/((s+3))+1/((s+5))
The solution is s=(-9+2sqrt(3))/3 ,s=-(9+2sqrt(3))/3