Solve: -x^4 + 200 = 102x^2

I know the last line was wrong I just took a guess on factoring it out. I just knew how to do the first 2 lines. The problem has no typos it is -x, its crazy but that's how it is in my book. how does that change the answer?

"Your last line makes absolutely no sense.
Just multiply the first terms in each bracket all together, you would get x^6 !!! and your last term would be -520200" !!!

"Also I think you have a type.
If your equation is
+x^4 + 200 = 102x^2 it works out very nicely, so I am going to assume that the -x^4 is incorrect".

x^4 - 102x^2 + 200 = 0
(x^2 - 2)(x^2 - 100) = 0

so x = �}�ã2 or x = �}10

2 answers

if it is indeed -x^4 + 200 = 102x^2 then

x^4 + 102x^2 - 200 = 0 gives you a "messy" solution.

it might be easier for you to see if I let y = x^2
then we have

y^2 + 102y - 200 = 0
and by the formula I got
y = (-102 ±√11204)/2
= 1.92447 or -103.92447

so x=√1.92477 = ±1.387
or x=√-103.92447 = ±10.194i
BTW, when you cut-and-pasted some of my previous reply, my square root symbols came out as �}�ã

Do you see an actual square root symbol in my post above?, I hope so.
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