Currently I'm learning polynomials, trinomials, and basic factoring. I don't understand this question at all.
'a' and 'b' are integers. Find the value of a and b, if a^2 - b^2 = 2 1.
first we think of the factors of 21 that are integers. ok, we can have 21 = 1*21 or 21 = 7*3. now, file that away, we'll come back to it.
Now ........the difference of two squares
now we want and to be integer factors of 21.
Let's say they are 7 and 3.
set
and
this is one solution, there are others.
we get a new solution set if a + b = 3 and a - b = 7
and also, if we take the factors to be 1 and 21
we need more conditions if we want a unique solution