Question

if alpha and beta are the zeros of quadratic polynomial 2 X square + 5 x + K find the value of k such that alpha + beta whole square minus Alpha into beta is equal to 24 ​

Answer 1

Step-by-step explanation:2x² + 5x + k = 0 is the given quadratic equation and it is given that

(α+β)² - α.β = 24 ....(i)

As we know that,

α+β = -b/a = -5/2 ....(ii)

and α.β = c/a = k/2 ....(iii)

Putting values of (ii) & (iii) in (i) , we get

(-5/2)² - (k/2) = 24

=> 25/4 - k/2 = 24

=> (25-2k)/4 = 24

=> 25 - 2k = 96

=> 2k = 25 - 96

=> 2k = -71

=> k = -71/2

hope it helps (￢‿￢ )

happy to help :)

Answer 2

Answer:

Step-by-step explanation: