If - and - are zeroes of the polynomial fx-2 x2-5 x-k satisfying the relation -2-2-214 then find the value of k

Let #160; #945; and #946; be the zeroes of polynomial ...

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Zeroes of a Polynomial

If α and ...

Question

If $α$ and $β$ are zeroes of the polynomial $f (x) = 2 x^{2} + 5 x + k$ satisfying the relation $α^{2} + β^{2} + α β = \frac{21}{4}$ then find the value of $k$

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α

β

f (x) = 2 x^{2} + 5 x + k

α^{2} + β^{2} + α β = \frac{21}{4}

If $α, β$ be the zeros of the polynomial $2 x^{2} + 5 x + k$ such that $α^{2} + β^{2} + α β = \frac{21}{4}$ then k = ?

(a) 3 (b) -3 (c) -2 (d) 2

α

β

f (x) = x^{2} - 5 x + 6

\frac{α^{2}}{β^{2}} + \frac{β^{2}}{α^{2}}

α, β

2 x^{2} + 5 x + k

k

(α + β)^{2} - α \cdot β = 24

α

β

p (x) = 2 x^{2} - 7 x + 3

α^{2} + β^{2}

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