Is the following statement true:
(x^4+6x^2+9)=x^2+3
8 answers
no
Is the following statement true:
(x^4+6x^2+9)^1/2=x^2+3
(x^4+6x^2+9)^1/2=x^2+3
yes.
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?
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?
x^2+ x(6)^1/2+3=x^2 +3
makes no sense at all.
6^(1/2) is not zero
makes no sense at all.
6^(1/2) is not zero
(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
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
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.
Got it.
I was totally overthinking this.
I was totally overthinking this.
3 answers