Question

form a quadratic equation whose roots are p/q and q/p

Answer 1

HI !

p/q and q/p are roots of an equation

sum = p/q + q/p
        = p² + q² /pq

product = p/q × q/p
             = pq / pq
             = 1

a quadratic  equation is of the form :-

x²- [sum of zeros]x + [ product of zeros ]
= x² - {p² + q² /pq }x + 1

Answer 2

Hi friend!!

Given, p/q and q/p are roots of the equation.

Sum of zeroes = p/q + q/p
= p²+q²/pq

Product of zeroes = (p/q)(q/p)
= 1

Quadratic equation which has two zeroes (roots) is in the form of

» x² - (sum of roots)x + (product of zeroes)
» x² - (p²+q²/pq) x + 1

Hope it helps