Using the theorem of Vieta,

x₁+x₂=-p

x₁*x₂ =3

We know that

x₁²+ x₂² = 74

x₁²+ x₂²=( x₁+x₂)²-2 x_1· x₂

74=p²-2· 35

p²=144

p=+(-)12

Since the problem asks for a positive solution, the answer is 12

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