Ask Me Help Desk - Moving from a stable fixed point to a stable period 2 point

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Moving from a stable fixed point to a stable period 2 point

I have a question which asks:

At which positive value of b does the quadratic

1.5²+bx+2.34

move from having a stable fixed point to having a stable period 2 point?

How do I go about solving this, and questions similar to it?

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