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