Question

if one root of the polynomial 5 x ^ 3 + 13 x + K is reciprocal of the other then find the value of k

Answer 1

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Given:- one root of the polynomial 5x^2+13x+k is reciprocal of the other

Let to be Required Number be a

Reciprocal of a=1/a

Product of Roots=a×1/a

Sum of Zeroes=Product of Zeroes

Product of Zeroes=c/a=k/5

According to the Question statement!

Product=Required terms

k/5=1

k=5×1

k=5

Ans:- k=5

Thanks!!!