The equation x^{3} + 3px^{2} + 3qx + r = 0, where p^{2} \neq q, has a double root. show that 4(p^{2} - q)(q^{2} - pr) = (pq - r)^{2}
The equation P(x)= x^{4} - px^{3} + qx^{2} - rx + s has roots \alpha , \beta , \gamma ,\delta . show that:
(A) if \alpha \beta = \gamma \delta, then r^{2} =...