# Roots in a geometric progression

Algebra Level 4

If $$a,b$$ are roots of $$x^2-12x+p=0$$ and $$b,c$$ are the roots of $$x^2-15x+q=0$$ and $$a,b,c$$ are in geometric progression, then find the value of $$p+q$$.

Give your answer up to 2 decimal places.

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