Question

if alpha and beta are the zeros of polynomial fx=x^2-5x+k such that alpha- bet=1​

Answer 1

Heya

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Alfa + Beta = 5

And

Alfa × Beat = k

=>

Alfa - Beta = √({Alfa + Beta }² - 4Alfa × Beta)

=>

1 = √{25 -4k}

SQUARING BOTH SIDE'S

25 - 4k = 1

=>

24 = 4k

=>

k = 6 OR k = 13/2