Question

if alpha and beta are zeros of the polynomial 2x^2 + 5x + k given that (alpha + beta) - alpha beta =24

Answer 1

Heya

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ax² + bx + c =0

Alfa + Beta = -b/a

And

Alfa × Beta = c/a

=>

Alfa + Beta = -5/2

And

Alfa × Beta = k/2

ACCORDING TO THE QUESTION

( -5/2 ) - ( k/2 ) = 24

=>

-5 - k = 48

=>

- k = 48 + 5

=>

k = -53