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Prelim. marathon? (2 Viewers)

Shazer2

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I was wondering if people could post some prelim. questions for some practice. :)
 

Shazer2

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So u haven't covered sum and product of roots?

Can u do α+β?
No we haven't. We've covered:

  • Linear Algebra
  • Straight line graphing
  • Calculus (differentiation)
  • Geometry
  • Trigonometry

..and probably a few more but I'll let you know if we haven't covered it.
 

HeroicPandas

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No we haven't. We've covered:

  • Linear Algebra
  • Straight line graphing
  • Calculus (differentiation)
  • Geometry
  • Trigonometry

..and probably a few more but I'll let you know if we haven't covered it.
ok, i will try to think of a hard question with those easy topics
 

Peeik

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Here you go:



P.s. Year 12 Extension kids are not encouraged to post their responses unless the prelim 2u students are stumped.
 
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nightweaver066

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If you cbb typing solution just type out the steps you did.
 
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Shazer2

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nightweaver066, that's a bit tricky, so far I've got to here and I'm stumped. Hint on what to do next?



EDIT: do I need to then do something like:



Then make the denominators common, or am I going down the wrong track here?
 
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nightweaver066

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nightweaver066, that's a bit tricky, so far I've got to here and I'm stumped. Hint on what to do next?



EDIT: do I need to then do something like:



Then make the denominators common, or am I going down the wrong track here?
Maybe. Play around with what you think could work.
 

Sy123

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Here is a good one that can be attempted with only year 10 knowledge:

 

likeaBOS

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Here you go:



P.s. Year 12 Extension kids are not encouraged to post their responses unless the prelim 2u students are stumped.
Would you use the discriminant and find that it's greater than 0 (being root 24), meaning there are two different/unique solutions for x, so C)?
 

Sy123

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Why am I so bad at maths? :( I don't even know where to start.
Start by drawing a triangle and naming the sides a, b and
Then write down the givens in the question and try and manipulate an expression in order to get which is the area of the triangle.

Also I will add that this question is considered 'very tough' by some GMAT tutoring organisation (an American thing)

Would you use the discriminant and find that it's greater than 0 (being root 24), meaning there are two different/unique solutions for x, so C)?
You cannot use discriminant for this, it has a sine function which cannot be considered a co-efficient of x (since its a function), since its multiple choice its best to do this:



So we have two sides now. Graph both sides of the equation the number of intersections is the number of solutions.
 

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