FP1 Maths Question..need help please

I've got the equation that k=-x but I don't feel that it's right :frown:

My results are k=0,1
Could someone tell me whether they are right or not? Thanks

You are correct, you should be able to verify this yourself.

I've got the equation that k=-x but I don't feel that it's right :frown:

My results are k=0,1
Could someone tell me whether they are right or not? Thanks

Well, multiply the first equation by 3 and the second by 2 and then subtract to get

(6x^2 + 9x + 3k) - (6x^2 + 2x - 4k) = 7x + 7k = 0 \iff x = -k

as you've suggested.

So you need to solve

3k^2 - k - 2k = 3(k^2-k) = 0 \iff k = 0 \, \mathrm{or}\, k = 1

as you suggested. So you are indeed correct.

Well, multiply the first equation by 3 and the second by 2 and then subtract to get

(6x^2 + 9x + 3k) - (6x^2 + 2x - 4k) = 7x + 7k = 0 \iff x = -k

as you've suggested.

So you need to solve

3k^2 - k - 2k = 3(k^2-k) = 0 \iff k = 0 \, \mathrm{or}\, k = 1

as you suggested. So you are indeed correct.

Thank you V much! :smile:

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