The roots of x^2 + 5x + 3 = 0 are p and q, and the roots of x^2 + bx + c = 0 are p^2 and q^2. Find b + c.
Using quadratic formula I find rootp and q to be
-5/2 +- (sqrt13)/2 or x=−0.697224 x=−4.30278
square them to get p^2 and q^2 = .486121 and 18.51388
(x-.486121) (x-18.51388) = x^2 - 19x + 9 = 0
Now you can add b+ c
or you could do it the hard way and multiply out all of those radicals !