Which two numbers add up to ___ and multiply to ___?

  1. multiply to -18 add to -17
  2. multiply to 36 add to -13
  3. multiply to -24 add to -5
  4. multiply to -18 add to 7
  5. multiply to -36 add to 9
  6. multiply to 24 add to 10
  7. multiply to 18 add to -9
  8. multiply to -36 add to -16

I need help ASAP!

Verified Answer :

It's quite simple :)
1. \(-18\ \&\ 1\) because \(-18+1=-17\) AND \((-18)*1=-18\)
2. \(-9\ \&\ -4\) because \(-9+(-4)=-13\) AND \((-9)*(-4)=36\)
3. \(-8\ \&\ 3\) because \(-8+3=-5\) AND \((-8)*3=-24\)
4. \(9\ \&\ -2\) because \(9+(-2)=7\) AND \(9*(-2)=-18\)
5. \(12\ \&\ -3\) because \(12+(-3)=9\) AND \(12*(-3)=-36\)
6. \(6\ \&\ 4\) because \(6+4=-10\) AND \(6*4=24\)
7. \(-6\ \&\ -3\) because \(-6+(-3)=18\) AND \((-6)*(-3)=18\)
8. \(-18\ \&\ 2\) because \(-18+2=-16\) AND \(-18*2=-36\)

Scryt

Ok so let's start :)

Ok so first one, numbers need to add to \(-17\) AND multiply to \(-18\)
First of all you need to check the signs which stands near to those numbers. As you see there is \((-)\) next to both of them, it means that ONLY one number needs to be with \((-)\) sign. Why? There is short "instruction" which you need to remember:

\((-)*(-)=(+)\)
\((-)*(+)=(-)\)

If there are to signs next to each other, you can "change" them using "rules" below ;P

\((-)+(-)=(+)\)
\((-)+(+)=(-)\)

So it is possible to add two numbers with \((-)\) sign next to them which would be equal to \(-17\) (for example \(-5+(-12)\) but it is impossible to find two numbers which have \((-)\) sign next to them which will give you also negative number after multiplication :)

Ok it's enough theory for now, it should be much easier now :D

1. So you can multiply \(1*-18\) which is \(-18\)
Also \(-18+1\) which is \(-17\)

Rules above should help you to understand what I did below :) In case of any questions you can help me anytime :)

It's quite simple :)

1. \(\ \boxed{-18\ AND\ 1}\ because\ -18+1=-17\ AND\ (-18)*1=-18\)

2. \(\ \boxed{-9\ AND\ -4}\ because\ -9+(-4)=-13\ AND\ (-9)*(-4)=36\)

3. \(\ \boxed{-8\ AND\ 3}\ because\ -8+3=-5\ AND\ (-8)*3=-24\)

4. \(\ \boxed{9\ AND\ -2}\ because\ 9+(-2)=7\ AND\ 9*(-2)=-18\)

5. \(\ \boxed{12\ AND\ -3}\ because\ 12+(-3)=9\ AND\ 12*(-3)=-36\)

6. \(\ \boxed{6\ AND\ 4}\ because\ 6+4=-10\ AND\ 6*4=24\)

7. \(\ \boxed{-6\ AND\ -3}\ because\ -6+(-3)=18\ AND\ (-6)*(-3)=18\)

8. \(\ \boxed{-18\ AND\ 2}\ because\ -18+2=-16\ AND\ -18*2=-36\)