Question

If one root of a quadratic equation 2x2+5x+k=0 is the reciprocal of the other root, then
the value of k is​

Answer 1

Answer:

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 x²

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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Answer 2

Answer:

2

Step-by-step explanation:

one root =x

another root =1/x

then sum of the roots => x+1/x = -5/2

product of the roots is => x×1/x = k/2

1=k/2

k=2