if one root of polynomial 5x^2+13x+k is reciprocal of the other,then find k​

1 thought on “if one root of polynomial 5x^2+13x+k is reciprocal of the other,then find k​”

1. Step-by-step explanation:

   Let one root of the given that other zero is Reciprocal the one zero.

   So,

   Other zero=1/Alpa.

   Given polynomial is 5x

   2

   +13x+k=0.

   Here,

   A=coefficient of x

   2

   B=coefficient of x

   And,C=constant term.

   Product of zeroes =C/A

   Alpha ×1/Alpha =K/5

   1=K/5

   K=5

   Then,

   We get k=5.

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