if the roots of px2+qx+2=0 are reciprocal to each other then find the value of p

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Solution

Here we have the equation px2+qx+2 = 0

Product of the roots = c/a = 2/p

Given that the roots are reciprocals of each other. So if one root is α, the other would be 1/α.
So, their product will always be 1.

=> 1 = 2/p
=> p = 2.

Hence, the value of p is 2. Ans.

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