University of South Carolina High School Math Contest/1993 Exam/Problem 13
Problem
Suppose that and
are numbers such that
and
. Then
![$\mathrm{(A) \ }0.1 \qquad \mathrm{(B) \ }0.3 \qquad \mathrm{(C) \ }0.4 \qquad \mathrm{(D) \ }0.5 \qquad \mathrm{(E) \ }0.6$](http://latex.artofproblemsolving.com/0/f/c/0fc07277fafea40153e7ebb5eabb2d894032aaad.png)
Solution
Expanding and
, we have:
yields
and our answer is
.
Suppose that and
are numbers such that
and
. Then
Expanding and
, we have:
yields
and our answer is
.
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