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I've noticed that you have been posting many AoPS problems along with their official diagrams.

Please remove them as they constitute plagiarism and cause a permanent record that students who are attempting to solve the problems will see.

Thank you.

Yup!

***This topic is now resolved.***

Can someone help me prove that

? Thanks.deleted

I have solved this. Thank you for the help.

***This topic is now resolved***

Ahhhh, yes. I didn't think of that. However, I'm not sure what the values should be. How do we transfer

into ?Yup! Thanks! I will be using it from now on!

How would we factor

?Can someone explain how to get the answer for Q4? Thanks.

^^ Why does it just say Submit with a img symbol? ^^

Wait, where did you post the LaTeX help? <-----

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I got the Geogebra thing. I've used Geogebra before, but not the spreadsheet. I've learned it now. Thanks.

**RandomPieKevin**- Replies: 7

The circles

and intersect in two points A and B. Find the slope of .I got

, but I don't know what do do next! (\pm is plus or minus, and it's from the quadratic equation). I got that answer by expanding the second equation and using the first equation to find what x^2 and x are in terms of y. Then, I substituted them in and solved. I don't know what to do next now.Can someone help me solve this? Thanks.

**RandomPieKevin**- Replies: 8

Let

. Find the constant such that for all real numbers .Can someone help me solve this? I would like some help in how to solve it and what direction I should start. Thanks.

Can someone help with part b? Thanks.

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Can you explain how you got it? Thanks.

How did you get the base as 20-2x?

What did you guys get for Q3?

How did you get the base as 20-2x?

____________________________________________________________________________________________________________________________________How do you know that JD=x?

@bobbundy

I posted something there. Can you help me there? Thanks.

championmathgirl wrote:

I used a simpler algebra way to find x. Because you could use Pythagorean Theorem and write the base as 16+2x. Then since we also have the base as 20-2x. Setting them equal to each other we get x=1. Then use the ratios y/(y+10)=x(10-x) to find y.

I don't know which base you guys are talking about. Also, is x the radius of the inscribed circle?

Can you help me with Q3?

Can you guys help me prove that PR is a straight line? Thanks.

**RandomPieKevin**- Replies: 3

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