Roots in a geometric progression

Algebra Level 3

If a,ba,b are roots of x212x+p=0x^2-12x+p=0 and b,cb,c are the roots of x215x+q=0x^2-15x+q=0 and a,b,ca,b,c are in geometric progression, then find the value of p+qp+q.

Give your answer up to 2 decimal places.

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