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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