Author Topic: Latest gcse maths notes at astarmathsandphysics.com  (Read 2733 times)

Offline astarmathsandphysics

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Latest gcse maths notes at astarmathsandphysics.com
« on: September 21, 2009, 09:52:22 am »
I think I solved the picture problem and now the pages display properly.

http://www.astarmathsandphysics.com/gcse_maths_notes/gcse_maths_notes_pythagoras_theorem.html





Offline astarmathsandphysics

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« Last Edit: September 29, 2009, 10:57:07 pm by astarmathsandphysics »

Offline sweetest angel

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Re: Latest gcse maths notes at astarmathsandphysics.com
« Reply #6 on: October 06, 2009, 09:57:05 pm »
hey,Thanks for the links but i have a problem in logs that i'll be very grateful if u solve
i'll use ^ to indicat a number power
Q: prove that if a^x=b^y=(ab)^xy, then x+y=1
this is a question from C2 AS edexcel. thanks a lot in advance  :D
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Offline astarmathsandphysics

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Re: Latest gcse maths notes at astarmathsandphysics.com
« Reply #7 on: October 06, 2009, 11:10:45 pm »
a^x=b^y=(ab)^xy, then x+y=1
a^x=a^(xy)b^(xy) take the xth root to get a=a^yb^y (1)
and the the yth root of b^y=a^(xy)b^(xy) to get b=a^xb^x (2)
a^(1-y)=b^y from (1) and b=a^(1-y)/y from (1)
sub into (2) to get a^(1-y)/y=a^xa^x(1-y)/y
hence (1-y)/y=x+x(1-y)/y
1-y=xy+x-xy so 1=x+y

tricky question

Offline astarmathsandphysics

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Re: Latest gcse maths notes at astarmathsandphysics.com
« Reply #8 on: October 06, 2009, 11:11:25 pm »
definitely in the wrong topic too.