(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

θ_{1}^{2}-γθ_{1}+β=0

Show that

0<θ_{1}<β

3. The attempt at a solution

I know that for θ_{1}=0, θ_{1}^{2}-γθ_{1}+β>0:

Substituting, we get 0^{2}-0+β=β, which is positive.

I don't know how to show that for θ_{1}=λ, θ_{1}^{2}-γθ_{1}+β<0.

I also don't know how to show that these results imply that there is zero between these two values. Which in turns means that 0<θ_{1}<β.

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# Show theta<beta

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