Question

if alpha and beta are zerooes of quadratic polynomial 2x square +5x plus +k find the value of k such that (alpha+beta) whole square - alpha beta =24

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Answer 1

Answer:

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