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

Olanrewaju asked Dec 11, 2023

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28 votes

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

Olanrewaju asked Dec 11, 2023

3.0k points

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30 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

Sushila answered Dec 15, 2023

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