Question

For a polynomial nx2+mx+2the zeroes are reciprocal to each other and their sum is 5 find value of m and n

Answer 1

if roots or zeroes are reciprocal of each other that means in equation ax^2+bx+c, a & c must be equal.... according to it in this equation n=2
now sum of roots or zeroes find by -b/a according to it in this equation sum of roots or zeroes is -m/2 which is equals to 5
so,-m/2 = 5
so,-m=10
then,m = -10
hence,m = -10 & n = 2