For what values of r does the function y=e^(rx) satisfy the equation y"+6y'+8y=0?

For what values of r does the function y=e^(rx) satisfy the equation y"+6y'+8y=0?

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just solve the quadratic formed by characteristic equation:
r^2 +6r +8 = 0

the function \[y=e ^{rx}\] satisfy the equation \[y"+6y'+8y=0\]

can you elaborate a little more = (

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