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Studentka2010 [4]
3 years ago
7

PLEASE HELP!!! I WILL RATE BRAINLIEST TO THE FASTEST AND CORRECT ANSWER!!!

Mathematics
1 answer:
Andrej [43]3 years ago
5 0
Not easy:

- 4 < x^4 + 4x^2 ---> 0 < x^4+4x^2+4 = (x^2+2)^2, so it is always positive. Always satisfied. Curious ...

Now the other one:

x^4+4x^2<21 --> x^4+4x^2-21 < 0 --> (x^2+2)^2 - 25 < 0

(x^2+2)^2<25 ->>> x^2+2 < 5 ---> x^2 <3,

So -sqrt(3)<x<sqrt(3) is the answer! Brainliest?
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