Question

How to simplify (81x^2-2)^1/2 /6-3x?

I tried the conjugate but the algebra gets wacky from there

Answer 1

Do you know how to use the Equation Editor or the draw feature? If so, please use it. You can also attach a picture of the question from your text. I just would like to see the problem as it was originally presented to you.

Answer 2

Here you go

Answer 3

You should have just posted that from the beginning.

Answer 4

SOrry bout that

Answer 5

consider, for large value of x, the constants become rather minimalistic, right?

Answer 6

wait so I just cancel all the other minimalist constants?
THis leaves me with -3 as the final answer. Seems too simple

Answer 7

Correct answer

Answer 8

81(100000000000000000)^2 - 2

is pretty much: 81(100000000000000000)^2




6 - 3(100000000000000000)

is pretty much: - 3(100000000000000000)


do you agree?

Answer 9

for large values of x, this prety much becomes: sqrt(81x^2)/-3x

or simply -9/3 = -3

Answer 10

algebraically is pretty simple too, if you want that approach

Answer 11

Yes I agree now. Thank you very much for the succinct explanations!

Answer 12

good luck :)

Answer 13

oh one more problem in the similar vein. So this is the next question. Final form here seems to be -3/x. Is this right? isnt this dividing by zero? would the answer be zero?

Answer 14

sqrt(81x^2-2)/(6-3x)
sqrt((9x)^2-2)/(3(2-x))

Answer 15

Basically, if the degree of the denominator is bigger than the degree of the numerator, then the expression goes to zero as x approaches infinity. So zero is correct for the problem you just posted.

Answer 16

But it's not 'dividing by zero'

Answer 17

You are my hero. Get it? Its a pun

Answer 18

\[\frac{9x}{-3x^2}\]
\[\frac{-3}{x}\]

Answer 19

@amistre64, I think all he wanted to do was confirm whether or not his result was correct for the last problem he posted.

Answer 20

why does a large denominator make a small number? think about getting cake ....

the cake is cut into 2 pieces and you get a piece, you get most of the cake, you have 1/2 the cake

the cake is cut into 5 pieces and you get a piece, you have 1/5 the cake, i little smaller

the cake is cut into 10000000 pieces and you get a piece, you have 1/10000000 the cake, you have practically no cake at all.

Answer 21

prolly, but this was just a bit of trivia to see why if a term is divided by a power of x, that that terms goes to zero

Answer 22

Yes, I see now why you provided the explanation.

Answer 23

Every piece of info helps amistre64. Also thanks for conjuring the thought of cake

Answer 24

Oh by the way is it best practice to delete posts after its been answered?

Answer 25

Negative. It is very bad practice to delete posts. In fact, it could lead to bans and suspensions if misused.

Answer 26

Oh wow. Thanks for letting me know. I thought deleting the post would clear space for other questions needing answers