Difference between revisions of "1953 AHSME Problems/Problem 3"
Line 7: | Line 7: | ||
Trying each case out, we see | Trying each case out, we see | ||
<math>(x+iy)(x-iy)=x^2+xyi-xyi+(iy)(-iy)=x^2+(-1)(-y^2)=x^2+y^2</math> | <math>(x+iy)(x-iy)=x^2+xyi-xyi+(iy)(-iy)=x^2+(-1)(-y^2)=x^2+y^2</math> | ||
+ | |||
So <math>\boxed{\text{D}}</math> works | So <math>\boxed{\text{D}}</math> works | ||
~mathsolver101 | ~mathsolver101 |
Revision as of 13:19, 31 July 2015
The factors of the expression are:
Solution
Trying each case out, we see
So works
~mathsolver101