Riddle Corner

[The_Bartner]

A math one:
you have two numbers, let's call them A and B.
You know A.B = 12 and A - B = 8.
Try to compute A^2 + B^2 without computing A nor B.

((If you don't find it and want the solution, PM me))  

[The_Bartner]

AstronomyGirl

The_Bartner

A math one:
you have two numbers, let's call them A and B.
You know A.B = 12 and A - B = 8.
Try to compute A^2 + B^2 without computing A nor B.

((If you don't find it and want the solution, PM me))

it can either be 145*A^2 or 145*B^2

There is an exact solution when you use a special theorem about squares  

[The_Bartner]

AstronomyGirl

The_Bartner

AstronomyGirl

The_Bartner

A math one:
you have two numbers, let's call them A and B.
You know A.B = 12 and A - B = 8.
Try to compute A^2 + B^2 without computing A nor B.
((If you don't find it and want the solution, PM me))

it can either be 145*A^2 or 145*B^2

There is an exact solution when you use a special theorem about squares

hum... yea that's what I was thinking, that there was an exact solution.
humm... I'm stupped then. I don't think I can figure this out. sweatdrop

Hint: use: (A-B)^2 = ... (you know something about that normally) (written in white so you you don't have to read it, select to read, then it becomes blue)  

[The_Bartner]

AstronomyGirl

The_Bartner

Hint: use: (A-B)^2 = ... (you know something about that normally) (written in white so you you don't have to read it, select to read, then it becomes blue)

I think I got it! that hint helped a lot!
a^2 + b^2 = 52
(highlight it to see my answer)

Did I get it?

Almost, I know which mistake you have made... (highlight it to see extra hint)
52 = 64 - 12, but the right answer is 64 + 2.12  

[The_Bartner]

Solution in white on the next lines:
(A-B)^2 = A^2 + B^2 - 2.A.B
=> ( 8 )^2 = A^2 + B^2 - 2.12
<=> 64 + 2.12 = A^2 + B^2
<=> A^2 + B^2 = 88  

[The_Bartner]

AstronomyGirl

The_Bartner

Solution in white on the next lines:
(A-B)^2 = A^2 + B^2 - 2.A.B
=> ( 8 )^2 = A^2 + B^2 - 2.12
<=> 64 + 2.12 = A^2 + B^2
<=> A^2 + B^2 = 88

oh! I get it now. blaugh In that last post where you had 2.12 I thought you ment the number two decimal one two, and so I was trying to figure out how you got the decimal number. Now I see that you ment two multiplied by twelve. xp lol. Just a mix-up with notation.
I usually use * to mean multiplication when I'm typing stuff on the computer instead of the .

I use the * * for RP's, when doing an action, and the most used mathematical notion is a point, but it is indeed a bit confusing, sorry...  

[The_Bartner]

Next riddle !
A boy and a girl each choose a number between one and five. They're both as intelligent as possible.
I take a look at both numbers and tell them the numbers are different.

1 The boy says: I don't know whether my number is the biggest or smallest.

2 Then the girl says: Well, I don't know either.

3 After that the boy says: I know your number now and I know mine is smaller than yours.

4 Then the girl says: Now I know your number too.

Which number has the girl and which the boy?