# If roots α, β of equation satisfy the relation , then write the value of p.

given α2 + β2 = 9

Given x2- px + 16 = 0 and α, β are roots of the equation then

Sum of roots α + β = p

Product of roots α β = 16

Substituting these in (α + β)2-2 α β=9 we get,

p2 – 2(16) = 9

p2 = 41

P = ±√41

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