How do you solve x4+200=102x2?

Question

anonymous · Answer

Factoring will get you there.  This is a modified case of something you probably know well.

anonymous · Answer

Should i move the 102x2 to the left?

anonymous · Answer

Good start.

anonymous · Answer

then factor out the X2 right? then what i always get stuck here

anonymous · Answer

Now you have $$x^{4} - 102x ^{2}+ 200 = 0$$.  What if it was squared and first power instead of powers 4 and 2?  Could you factor?

anonymous · Answer

Okay so factor out the X2 then it would be x2(x2-102)+200

anonymous · Answer

That is right in a way, but you should do the type of factoring that gives you a pair of parentheses instead of just getting a greatest common factor.

anonymous · Answer

okay... so what method would be the best?

anonymous · Answer

(x2      )(x2      ) would be how it would look roughly.  You then have to determine what would make each parentheses = 0

anonymous · Answer

okay thanks