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