SOLUTION: Factor if possible x^2+49 ^ meaning its an exponent thanks for answering

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor if possible x^2+49 ^ meaning its an exponent thanks for answering      Log On


   



Question 724453: Factor if possible
x^2+49
^ meaning its an exponent
thanks for answering

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B49....write 49 as 7%5E2
x%5E2%2B7%5E2...here we have the sum of squares; usually when you factor, you are looking for real factors, but if you allow
complex factors then you can always factor A%5E2%2BB%5E2 like this:
A%5E2%2BB%5E2+=+A%5E2-%28-1%2AB%5E2%29+=+A%5E2-%28iB%29%5E2+=+%28A%2BiB%29+%28A-iB%29

so, you will have
x%5E2-%287i%29%5E2 which is
%28x-7i%29%28x%2B7i%29