Question

if one zero of (a*2+4)x*2+13x+4 is reciprocal of other find a

Answer 1

Let the Zeros be y and 1/y
( it is given one Zero is reciprocal of other )


• Product of Zero :-

$= \frac{constant \: term}{coefficient \: of \: {x}^{2} }$

$y \times \frac{1}{y} = \frac{4}{ {a}^{2} + 4}$

a² + 4 = 4

a² = 0

a = 0