Stuck on this C1 Question

Solved =)

(edited 13 years ago)

Its completing the square. Factorise the whole expression to get the 2 out

I'm not sure how to do this question :s-smilie:

Multiply out the bracket on the right hand side and equate the coefficients.

EDIT: What's with the neg rep? It's a perfectly valid method.

(edited 13 years ago)

2x^{2}-12x+p=q(x-r)^{2}+10

So now remove the 2 and put it as a factor

2(x^{2}-6x+p/2)

Then do complete the square

2((x-3)^{2}-9+p/2)

Then multiply the -9 and P/2 by 2 to take it out of the bracket

2(x-3)^{2}-18+P

now, 10 must = -18+P
so P=28
q=2
and
r=3
Hope it helps :smile:

Original post by thecookiem0nster

2x^{2}-12x+p=q(x-r)^{2}+10

So now remove the 2 and put it as a factor

2(x^{2}-6x+p/2)

Then do complete the square

2((x-3)^{2}-9+p/2)

Then multiply the -9 and P/2 by 2 to take it out of the bracket

2(x-3)^{2}-18+P

now, 10 must = -18+P
so P=28
q=2
and
r=3
Hope it helps :smile:

This.

Thanks alot for the help =)

Solved.

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