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# Further Maths - Minimum point of a quadratic

1. I can't figure out how to work out question 5 (a).

So far, I have the basics;
PCA = x
CPB = 2x

I don't know what to do after this...

http://www.mrbartonmaths.com/resourc.../Paper%202.pdf
2. (Original post by RosaA)
I can't figure out how to work out question 5 (a).

So far, I have the basics;
PCA = x
CPB = 2x

I don't know what to do after this...

http://www.mrbartonmaths.com/resourc.../Paper%202.pdf
No, as it's an isosceles triangle.

Angles on a straight line add up to 180 therefore and work out BPC. Then use it's an isosceles triangle and use that to your advantage for ABC.
3. (Original post by RDKGames)
No,

Angles on a straight line add up to 180 therefore and work out BPC. Then use it's an isosceles triangle and use that to your advantage for ABC.
Ah, okay thanks. I thought I has some idea about what I was doing by patently not!

Thank you for the help
4. (Original post by RosaA)
Ah, okay thanks. I thought I has some idea about what I was doing by patently not!

Thank you for the help
No problem, though this question has nothing to do with minimum points let alone quadratics as the title suggests.
5. (Original post by RDKGames)
No problem, though this question has nothing to do with minimum points let alone quadratics as the title suggests.
I know, I realised after posting that I had written an incorrect title.

In terms of the question, I'm still a bit confused to be perfectly honest.

180 = 2x - 2x + 180
APC = 180 - 2x ??

Do you mind just going through it because I am completely losing the plot
6. (Original post by RosaA)
I know, I realised after posting that I had written an incorrect title.

In terms of the question, I'm still a bit confused to be perfectly honest.

180 = 2x - 2x + 180
APC = 180 - 2x ??

Do you mind just going through it because I am completely losing the plot
Triangles APC and BPC are both isosceles due to equal sides. This is useful.

For triangle APC, we know that angle therefore as well. Since angles in a triangle add up to 180 this means that

Angles on a straight line add up to 180, therefore on the line BA:

You can find angle in terms of x therefore find angle as it is an isosceles triangle.

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