Question

ifa,b,c and d are natural numbers such that a2 +b2 =41 and c2+ d2 =25 then the polynomial whose zeores are (a+b) and (c+d) can be

Answer 1

a=5.
b=4.
c=4.
d=3.
I found this by trial and error method because 4 variables but two equations are given.
Now,a+b=9 and c+d=7.
So by putting the formula you can find the polynomial by,(x-9)(x-7)=0.
Now solve it and the polynomial will be
x^2-16x+63=0

Thanks.
Tripathy.