Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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Parentheses mean different things in math in different situations.

Sometimes parentheses are used for grouping like this (a-b) this is not the same as sin(x). Here the parentheses are being used as the argument to the sin function.

The simplest idea is to use numerics, that means plot it first.

This immediately gives initial estimates for iteration.

You can explore a bit more with graphing to convince yourself that there are only two and this I felt would be adequate for this problem.

But, locating all the roots in non polynomial equations can be tricky. One way to prove that these are the only two would be to show that the curves continue decreasing and therefore never touch the x axis again.

Of course, whether or not this would be sufficient depends on where this problem originates. If it is a school or contest problem then there is almost without a doubt a clever idea that reduces the problem to an easy and clean solution. Therefore, I would continue to look for it.

But, if this problem originates from the real world we might have to be satisfied with the above suggestions.

Wait a second, there is someone in here right now that would take great delight in doing what she thought I could not. I will cease my efforts and let her succeed, only for the sake of chivalry of course.

You mean

Hi;

If you had 5 dollars and your bills were 7 dollars do you not owe 2 dollars? Owing money is one practical use of negative numbers.

Did you read this?

http://www.mathsisfun.com/number-line.html

It is pretty well explained out with nice diagrams. There you will see what I meant by counting left.

If you count left 7 from 5 on the number line where would you be?

Right click the picture and click "Copy Image Location" tell me when you did that.

Let me know when you have uploaded the picture from your machine to imgur.com

I think you just posted the question without using a picture.

Once you have uploaded to that site it is a simple matter to put it into your post.

Do you have a picture you want to post?

Yes, http://imgur.com/

You can upload picture to that site and then to your posts.

Hi Srikantan;

You did not answer the two questions I gave you.