The roots of the quadratic equation 3x2-px+q=0 are 10th and 11th terms of an arithmetic progression with common difference 32. If the sum of the first 11 terms of this arithmetic progression is 88, then q-2p is equal to .
474
S11=11(a+5d)=88 a+5d=8, d= 32 a= 12
Roots: T10=14, T11= 312
p3= 592 p= 1772; q3=14 312=217 q=651
q-2p=651-177=474
Answer: 474
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