Question

If one root of the equation x2+ 7x+ p = 0 be reciprocal of the other then the value of p is__

Answer 1

p = 1 if roots of x²+ 7x+ p = 0 are reciprocal

Step-by-step explanation:

Let say one root of x²+ 7x+ p = 0  is  

α   then other root will be 1/α

(x - α)(x - 1/α ) = 0

=> x²  -x(α + 1α)  + 1 = 0

comparing with

x²+ 7x+ p = 0

=> p = 1

or

Simply product of root = p

and roots are reciprocal so product will be  1

=> p = 1

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