# Search results

1. ### HSC Extension 2 Mathematics Predictions / Thoughts

check the revised version
2. ### Hardest geometry question in history answered by student trivially............ How?

Suppose that PQR is a 50-60-70 (respectively) triangle with an interior point X. Let angle PXR = s and angle QXR = t. Find (in terms of s and t) the three angles of any triangle with side lengths equal to PX, QX and RX.
3. ### Nice proof

False statement (the sum on the right has x terms), because x is not necessarily a natural number. If x are natural numbers, x^2 is not differentiable.
4. ### Hardest geometry question in history answered by student trivially............ How?

by the way, I was that student
5. ### Hardest geometry question in history answered by student trivially............ How?

(s-60), (t-60), (300-s-t)
6. ### Hard Binomial Theorem Question - HELP

a^n=3b, na^(n-1)=6b, 0.5n(n-1)a^(n-2)=5b a=3, b=243, n=6

No
8. ### Polynomials

I tried k=sqrt(3.5), plotted x and y intercepts and alpha, they are not collinear.
9. ### Polynomials

There is only one real x such that P(x)=0. Not three real xs. Meaning of root.
10. ### Polynomials

Exactly one real root and no complex roots when k=+/-1. For other real values of k, there are 3 roots according to the Fundamental Theorem of Algebra, one must be real according to the Conjugate Roots Theorem.
11. ### Polynomials

If k=1, z^3-3z^2+3z-1=(z-1)^3, if k=-1, z^3+3z^2+3z+1=(z+1)^3, .: exactly one real root each. I think you need to review your question.

3!3!2!
13. ### HSC 2018-2019 MX2 Integration Marathon

Re: HSC 2018 MX2 Integration Marathon Try replacing both e^x with e^(x^2).
14. ### HSC Physics Marathon 2013-2015 Archive

re: HSC Physics Marathon Archive The reaction force as in Newton's third law.
15. ### HSC 2015 MX1 Marathon (archive)

Re: HSC 2015 3U Marathon h=\frac{-\sqrt{2}+\sqrt{10}}{4}d
16. ### HSC 2015 MX1 Marathon (archive)

Re: HSC 2015 3U Marathon h depends on d?
17. ### HSC Physics Marathon 2013-2015 Archive

re: HSC Physics Marathon Archive A 5 kg mass slides at a constant speed of 2.0 m/s down a plane inclined at 30 deg to the horizontal. Determine the reaction force of the plane on the mass.
18. ### HSC Physics Marathon 2013-2015 Archive

re: HSC Physics Marathon Archive no, just another question
19. ### HSC Physics Marathon 2013-2015 Archive

re: HSC Physics Marathon Archive Find the ratio of the forces of gravity on the moons.
20. ### HSC 2014 MX2 Marathon ADVANCED (archive)

Re: HSC 2014 4U Marathon - Advanced Level Sorry That I am doing it again. If x^2 + y^2 = 1 in your last example? Have you got a counterexample for zero degree cyclic rational functions? Thanks for your patience. To make clear, I wasn't trying to make any claim at the start, purely to do Sy's...