1. The real numbers x and y are such that \(\begin{align*} x + y &= 4, \\ x^2 + y^2 &= 22, \\ x^4 &= y^4 - 176 \sqrt{7}. \end{align*}\)
Compute \(x-y\)
2. The roots of \(x^2 + 5x + 3 = 0\), are p and q, and thhe roots of \(x^2 + bx + c = 0\) are \(p^2\) and \(q^2\) find \(b+c\)
