If one root of 5 x 2 + 13 x + k = 0 is reciprocal of the other, then k = Options: A . &nbsp0 B . &nbsp5 C . &nbsp16 D . &nbsp6

Answer: Option B : B Let first root = α and second root = 1 α Product of roots =1 ⇒ k 5 = 1 ⇒ k = 5

If one root of 5x2+13x+k=0 is reciprocal of the other, then k=

Question

If one root of

5 x^{2} + 13 x + k = 0

is reciprocal of the other, then k=

Options:

A . 0

B . 5

C . 16

D . 6

Answer: Option B
:
B
Let first root

= α

and second root

= \frac{1}{α}

Product of roots =1

\Rightarrow \frac{k}{5} = 1 \Rightarrow k = 5

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