2012 Year 9 &10 Mathematics Marathon (2 Viewers)

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Re: 2012 Year 9 &10 Mathematics Marathon

Another question from my Yr 10 yearly




(hint: start by putting everything into LHS and prove that expression to be greater than or equal to 0)
 
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ymcaec

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Re: 2012 Year 9 &10 Mathematics Marathon

Another question from my Yr 10 yearly




(hint: start by putting everything into LHS and prove that expression to be greater than or equal to 0)
 
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Re: 2012 Year 9 &10 Mathematics Marathon

Yep! Good work :)

It might be a good idea to mention somewhere along the lines that

I know it's pretty obvious, but it's best to acknowledge the criteria in the question that a and b have to be positive themselves
 
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ymcaec

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Re: 2012 Year 9 &10 Mathematics Marathon

Yep! Good work :)

It might be a good idea to mention that

I know it's pretty obvious, but its good to acknowledge the question's criteria for a and b somewhere
thanks for the advice :)
 

Peeik

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Re: 2012 Year 9 &10 Mathematics Marathon

Here's an interesting intimidating (yet very easy) question on algebraic factorisation.
 

russ3l

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Re: 2012 Year 9 &10 Mathematics Marathon

does anyone have any good "simplifying expressions" questions? they're my favourite :)
 

ymcaec

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Re: 2012 Year 9 &10 Mathematics Marathon

Simplify the following algebraic fractions:
 
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Re: 2012 Year 9 &10 Mathematics Marathon

Next time, just copy the code from the editor and paste it here with {tex} and {/tex} around it, replacing the {}s with []s

you got part i right. for part ii, graph the line y=x-6 and see that it touches the circle once and has a y intercept of -6? Compare that form with y=x+k and figure out what other values of k (i.e. the y intercept) that touches the circle once by shifting the line. Now you can figure out where the line will cut the circle TWICE and therefore the values of k
 
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