Question

if alpha and beta are zeros of the quadratic polynomial 2x2+5x+ k. find the value of k such that alpha plus beta whole square minus alpha beta is equal to 24

Answer 1

mujhe question bataa skate h

Answer 2

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

a = 2 , b = 5, c = k

$( \alpha + \beta ) {}^{2} - \alpha \beta = 24$

$\alpha + \beta = - 5 \div 2$


$\alpha \beta = k \div 2$

On putting value

$( - 5 \div 2) {}^{2} - k \div 2 = 24$

- k / 2 = 24 - 25 / 4

-k / 2 = (96 - 25) / 4

- k / 2 = 71 / 4

k = -71 / 2


Thanks