Melody

I think that sound logical Chris  :) :/

Thanks Chris, I am going to show how to do it another way.

your way always works (so long as there really is a solution)  , mine only works for whole numbers.

the product of x and y equals -340 and the sum of x and y equals -3 

If I am trying to factoize a quadratic and I am expecting integer answers (whole numbers)

I often use a 'guess' method.

1) They multiply to a neg number so one is positive and one is negative.

2) They add to  a negative so the 'bigger' one is negative.

3) now I more or less forget about the negative signs for a bit.

4) they add to -3 so the numbers are close in value - only 3 apart.

5) Now I am going to look for factors of 340 that suit this.

340 = 34*10 = 2*17*2*5 = 2*2*5*17 = 20*17    that looks helpful, they are 3 apart

6)    Must be -20 and +17

I just counted the posibilities :/

All the ball and all the boxes are identical so all that matters is how many b***s are in each box

4,0,0

3,1,0

2,2,0

2,1,1

and that is it.

4 ways.   :)

Nauseated's solution looks a bit too techo for me.  :/

I saw Geno answer this one somewhere else today!

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this is the answer!

It turns out that this is a double post:

other one   

http://web2.0calc.com/questions/a-5x5x5-cube-is-formed-by-assembling-125-unit-cubes-nine-unit-squares-are-painted-on-each-of-the-six-faces-of-the-cube-according-to-the-pat

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2.5+2.5+2+100 = 107

between jan, stan and jav makes

$${\frac{{\mathtt{107}}}{{\mathtt{3}}}} = {\mathtt{35.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

the have an average of    $$35\frac{2}{3}$$     clocks each    :)

Great answer anon :)

That is another really tricky little question.

thanks Geno :)

https://www.mathsisfun.com/dividing-decimals.html

NOTE

$${\frac{{\mathtt{22}}}{{\mathtt{7}}}}$$      IS NOT   $${\mathtt{\pi}}$$

Sometimes it is used as an approximation for pi    :)