Melody

$$\\4sin^2x+2cos^2x-3=0\\
4sin^2x+2[1-sin^2x]-3=0\\
4sin^2x+2-2sin^2x-3=0\\
2sin^2x-1=0\\
2sin^2x=1\\
sin^2x=\frac{1}{2}\\
sinx=\pm\;\frac{1}{\sqrt2}\\
x=180n\pm\;45\quad degrees\qquad n\in Z \qquad $ (n is an integer)$$$

That is great MG

BUT

it is an improper fraction I want a mixed numeral for the answer.

Since it is really easy you could give the decimal answer as well.:)

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this is the question you have answered - it is a little different from the question that I asked.

$$\\34\frac{1}{8}\times \frac{14}{15}\div 1\frac{15}{34}$$

and this is how you would put it into the forum calc.

(34+1/8)*(14/15)/(1+15/34)        

You have to put this in the calculation box of course 

I want you to use the calc to check that your answer is correct  :)

That is good MG although technically 0 is not a multiple of 2  :))

Yes, that is excellent MG, can you finish it off  and then check it onthe forum calc in the same posts?

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then

You can work out WHY you have not answered the original question that I asked and answer that one :))   [You made a copy error]

You are still a good friend to DragonLance aren't you Rosala.

Loyalty is a good thing.       

A number is divided by 3 and leaves a remainder of 3. What numbers could it be?

You are right MG     

If you divide a whole number by 3 you cannot have a remainder of three it does not make sense.  The remainder would have to be 0,1,or 2

You can divide by 2 but there will be a remainder of 1.

Only even numbers can be divided by 2 with no remainder.

Thanks Alan,

And here is the clip!

@@ End of Day Wrap   Sun 31/5/15   Sydney, Australia Time   7:46pm     ♪ ♫

Hi all,

Today, out brilliant answers were provided by Heureka, Nauseated, CPhill, Geno3141, Thejamesmachine, asinus, zegroes, Dbg4thebest, MathsGod1 and Zacismyname.   A great big thank you to each of you.   

Mon 1/6/15

If you would like to comment on other site issues please do so on the Lantern Thread.  Thank you.    

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