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For all values of x, x² + 6x - 2 = (x+p)² + q Find the value of p and the value of q.

For all values of x, x² + 6x - 2 = (x+p)² + q Find the value of p and the value of q.
asked 139k views
21 votes
For all values of x,
x² + 6x - 2 = (x+p)² + q
Find the value of p and the value of q.

asked
User Laziale
by
7.5k points

1 Answer

3 votes

Explanation:


{x}^(2) + 6x - 2 = {x}^(2) + 2px + {p}^(2) + q


2p = 6


{p}^(2) + q = - 2


p = 3


{3}^(2) + q = - 2


q = - 11

p=3, q=-11

answered
User Paul Deter
by
8.7k points
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