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Mathematics: Post your doubts here!

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upload_2016-1-19_20-43-35.png
Ok so using the property a^2 = b^2
squaring both sides and solving a quadratic gives:
(3x-5)(x-1)<0
so 1<x<(5/3)
Then why not consider 1<x ... why only x<5/3 ?? :p
 
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But then by the squaring method don't you draw a parabola and look for the answers between them...
View attachment 58905
Ignore the axis but like the red region would be the solutions .... so then why x<1
Actually I don't know about that squaring rule. :p

I used the concept that that whenever a modulus is there, there are two possibilities,

either:

-(x-2) > 2x - 3

OR

(x-2) > 2x-3

So by solving these we get two two solutions that i mentioned above.

Is it from p3?
 
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upload_2016-1-19_21-40-4.png
I'm getting xsin2t + ycos2t = acos4tsin2t + asin4tcos2t
Please can someone solve it so i can check what's wrong :/
And how to do this next part of the question too please ...
upload_2016-1-19_21-45-43.png
 
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can someone help me with this:
Helen has some black tiles, some white tiles and some grey tiles. She places a single row of 8 tiles above her washbasin. Each tile she places is equally likely to be black, white or grey. Find the probability that there are no tiles of the same colour next to each other.

the ans is 128/2187
 
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