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

Question

Philoid · Accepted Answer

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