20110715: Let's continue to explore the problem of Antonio, Benedict & Celine

During today's discussion, we came to know that the following is true only when certain conditions meet.

1. (a+b)^2 > a^2 + b^2 if both a and b are positive.
However, this could also be true other than the above conditions.
What are these possible conditions?

2. (a+b)^2=0 if both a and b are zero.
However, this could also be true other than the above conditions.
What are they?

3. (a+b)^2 < a^2 + b^2
This is possible, however, there some conditions have to be set for a and b.
What are these conditions?

Use NUMBERS to explore to find out what are the conditions for each of the above to happen.
Key in your FINDINGS under Comments below.

1 comment:

  1. 1. If both a and b are negative.
    2. If both numbers are the same but one is negative and the other is positive.
    3.If one number is positive and the other is negative.

    NINa

    ReplyDelete