1.

If roots α, β of equation x2 -px + 16 = 0 satisfy the relation α2 + β2, then write the value of p.

Answer»

given α2 + β2 = 9 

(α + β)2- 2 αβ = 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 αβ = 9 we get, 

p2 – 2(16) = 9 

p2 = 41 

P = ±√41



Discussion

No Comment Found