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Consider the polynomial P(x)=27x4+245x3+ax2+bx+34, where a,b∈R.
The roots of the equation P(x)=0 are consecutive terms in a geometric sequence with first term u1 and common ratio r, where u1<0 and ∣r∣<1.
Give two expressions for u1 in terms of r.
Hence find the values of u1 and r
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