Question

If one zero of the polynomial P X equal to a square + 44 X square + 13 x + 4 is reciprocal of the other then find the value of a

Answer 1

Let m and 1/m are the zeros of the polynomial now product of zeros ( m*1/m) = c/a = 4k/(k^2+4)=> k^2+4 =4k => k^2 -4k+4=0 => (k-2)^2=0 => k= 2 answer