Asked by Devron

Is the following statement true:


(x^4+6x^2+9)=x^2+3
Answered by Anonymous
no
Answered by Devron
Is the following statement true:

(x^4+6x^2+9)^1/2=x^2+3
Answered by Steve
yes.
Answered by Devron
I thought is was no.


When asked this question by someone, I could not get the left side to look like the right.


x^2+ x(6)^1/2+3=x^2 +3


How does this simplify any further?


Answered by Damon
x^2+ x(6)^1/2+3=x^2 +3

makes no sense at all.
6^(1/2) is not zero
Answered by Steve
(x^2+3)^2 = x^4 + 6x^2 + 9
so, x^2+3 = √(x^4+6x^2+9)

But,
√(x^4+6x^2+9) = (x^4+6x^2+9)^1/2

so,

(x^4+6x^2+9)^1/2 = x^2+3
Answered by Devron
I know that, which is why I thought the answer was no, but then I was told that the answer was yes. I couldn't simplify nor reason it any further than what I have submitted. If you can show how to do it, it would be greatly appreciated; the problem is kind of bugging me.
Answered by Devron
Got it.

I was totally overthinking this.
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