Question

If \( \alpha, \beta \) be the zeros of the polynomial \( 2 x^{2}+5 x+k \) such that \( \alpha^{2}+\beta^{2}+\alpha \beta=\frac{21}{4} \), then \( k= \) ? (a) 3 (b) \( -3 \) (c) \( -2 \) (d) 2

Answer 1

Answer: (d) 2

α,  β zeros of 2x² + 5x + k