Neka je polinom
. Umnožak dvaju od četiri korijena polinoma je
. Odredi
.
Let the polynomial be
. The product of two of the four roots of the polynomial is
. Determine
.
[lang=hr]
Neka je polinom $f(x) = x^4 - 18x^3 + k x^2 + 200x - 1984$. Umnožak dvaju od četiri korijena polinoma je $-32$. Odredi $k$.
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[lang=en]
Let the polynomial be $f(x) = x^4 - 18x^3 + k x^2 + 200x - 1984$. The product of two of the four roots of the polynomial is $-32$. Determine $k$.
[/lang]
