Question

if one zero of polynomial
$a {x}^{2} + 15x + 6$
is reciprocal of other, find a​

Answer 1

let m and 1/m be the zeros

Product of zeroes:

=> m * 1/m = 6/a

=> 1 = 6/a

=> a = 6

hope it helps!

Answer 2

SOLUTION

Let m and 1/m be the zeroes

so, m+1/m= -15/a

(sum of zeroes=-coefficient of x/coefficient of y^2)

& m×1/m = 6/a

(product of zeroes= Constant/coefficient of x^2

Here this is enough to get the value of 'a' as m gets cancelled

so, a= 6

=) a= 6

hope it helps