If p + q = 6 and pq = -10, then p2 + 7pq + q2 = …

~Aljabar

p + q = 6 <=> pq = -10

Then , We can solve :

p² + 7pq + q² = (p + q)² – 2pq + 7pq

p² + 7pq + q² = (p + q)² + 5pq

p² + 7pq + q² = 6² + 5(-10)

p² + 7pq + q² = 36 – 50

p² + 7pq + q² = -14