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Differential equations intro

There are two values of aa that make y=e2axy=e^{2ax} a solution of the following differential equation.
y+4y+3y=0y''+4y'+3y=0
What is the sum of these two values?
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4