Math, asked by smarttejas548, 9 months ago

If zeroes of p(x)=2x²-1x+k are reciprocal of each other. find value of K.
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Answers

Answered by Aakashtalreja
5

Answer:

hello mate here is your answers

Step-by-step explanation:

Let ax²+bx+c be a quadratic polynomial then,

Product of zeroes = c/a .

Given, Zeroes of p(x) are reciprocals to each other.

We know that, Product of reciprocals = 1 .

Now, Product of roots = c/a = k/2 .

=> k/2 = 1

=> k = 2 .

Therefore ,k = 2 .

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