Question

if alpha and beta are the zeros of polynomial 2 X + 5 x + K and relation Alpha square plus beta square + alpha beta equal to 21 by 4 then find the value of k for this to be possible​

Answer 1

Answer:

in the equation given by u is is linear than the answer is not possible for linear equation

just in case the equation is

${2x}^{2} + 5x + k$

Step-by-step explanation:

${ \alpha }^{2} + { \beta }^{2} + \alpha \beta = \frac{21}{4} \\ ( { \alpha + \beta )}^{2} - \alpha \beta = \frac{21}{4} \\ ( \frac{ - 5}{2} )^{2} - \frac{k}{2} = \frac{21}{4}$

now on solving the above equation we get

k=2