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IgorLugansk [536]
2 years ago
9

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

Mathematics
1 answer:
Vlad [161]2 years ago
3 0

Step-by-step 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

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