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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 |
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