Question

Find the value of p ,if the equation 4x2+7x+p has reciprocal roots

Answer 1

we know that in a quadratic equation ax^2+bx+c=0

product of root =c/a

Here we have the equation 4x^2+7x+p=0

product of root=p/4

Given that the roots are reciprocal of each other ..so if one root is p.. the other would be 1/p...so their products will always be 1.....

=>1=p/4

=>p=4

Hence, the value the p is 4........

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