For instance, when I was a student and before starting a math exam, I noticed a colleague in my classroom trying, in vain, to solve an exercise that was expected to be given in the exam. I thought that helping him is a good thing. So I reminded him the basic hint by which the exercise in question could be solved rather easily. He looked at me and said: “Who asked you for help? I bet you are happy now for proving you are smarter than I”. So I apologized, but since then I fully understood the famous saying “Ask and you will be given” which also means “Give if you are asked... otherwise don’t blame the other side for any unexpected reaction”

]]>If

a= 2,b= 1,c= 4, thenA= √(2+1·√ 4) = 2,B= √(2−1·√ 4) = 0,S=A+B= 2 ≠b.

Good work.

In this case, the original statement should be updated as:

"If their sum *A+B=S* comes out as a natural number, *S* equals *b* if *b* ≠ 1".

Thank you.

Added:

also *a* ≠ 0, *b* ≠ 0 and *c* ≠ 0

Welcome to the forum.

Good result. But I'm afraid it has been done before. This was, for a while, a GCSE maths project in the UK. You'd get a grade 'C' for what you have posted but would need to show the whole proof and try possible extensions to get an 'A'.

Bob

]]>The youtube video where I found this logic puzzle (contains the solution) is right below

https://youtu.be/CnHBE4SbRRs]]>

Why the sad face?

30108

3 + 0! + 1 + 0 + 8 = 13

]]>Teacher gave that as a problem of the week, and from what I've done I figured it was unsolvable. Kind of messed up POW if it doesn't even work...

This is tough one bud. I know someone that are always playing Sudoku but they are at work right now. When this person comes back, I'll get them to give it a shot.

]]>I asked this problem long time back when I was young.

Oh really? Actually I heard this problem from my friend.

]]>I only found 13 solutions to your alternative puzzle.

A unique solution exists with the constraint, "The value of the sum's first letter ('D') is a prime number".

Another alternative puzzle, ALPHA - BETA - GAMMA = DELTA, has 4 solutions. A unique solution exists with the constraint, "The value of the sum's first letter ('D') is an odd prime number".

]]>Welcome to the forum.

There is an entire "family" of straight lines where 7x+ 11y = something.

They are all parallel and as N gets bigger the lines move away from the origin. Joining (11,0) to (0,7) will produce one. What is N for this case?

That should give you a starting point.

Bob

]]>Tommy opens his bottle and begins drinking the soda. But when I open my bottle, it was frozen solid. I complained.

What happened?

]]>