F2數 Identities

2008-08-06 7:14 am
If x^2+4x-1=(x+p)^2+q,find the values of p&q.
pls,show your steps.

回答 (1)

2008-08-06 7:21 am
✔ 最佳答案
x^2 + 4x - 1

= x^2 + 4x + (4 - 4) -1

= ( x^2 + 4x +2^2) -4 -1

= ( x^2 + 4x +2^2) - 5

= ( x + 2 ) ^2 - 5

therefore p = +2 , q = -5


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