Q14 of 39 Page 91

If α and β are the zeros of the polynomial 2x2 + 5x + k. Find k such that (α)2 + (β)2 + (α) × (β) = 24.

As

⇒ α + β = – 5/2


Also,




Given, (α)2 + (β)2 + (α)×(β) = 24.


⇒ (α)2 + (β)2 + (α)×(β) + (α)×(β) = 24 + (α×β)


⇒ (α + β)2 = 24 + (α×β)






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