Question

What is the value of x? Round your answer to the nearest tenth.

x^2 = 34

Answer 1

Square root both.

Answer 2

x=5.8309518948453004708741528775456

Answer 3

^leave the 34 as it is so that you don't need to work with that decimal

Answer 4

ok

Answer 5

x=?

Answer 6

\[\sqrt{x}=\sqrt{34}\]

Answer 7

since we square rooted we can get rid of the square root on the left (^2) cancels out.

Answer 8

Now, keep in mind there are 2 possible answers. We already have \[\sqrt{32 }\] what's the other answer?

Answer 9

wait isnt it 34?

Answer 10

^sorry i meant 34

Answer 11

lol its alright...

Answer 12

What would our answer be? :)

Answer 13

Ok here we go again. Your decimal was right - sqrt34 = now round it up like I taught you before:

is 3 larger than 5?

Answer 14

oi

Answer 15

(I know that answer but I want you to figure it out)


If 3 is larger than 5, then it becomes 5.9 which is your answer. If not, then 5.8.

Answer 16

@Cheez We don't use the decimal. It's easier to just leave it a square root.

Answer 17

5.9 is incorrect.

Answer 18

iye, oi, im confuffled....

Answer 19

*whelp*

Answer 20

Well I do and I'm 2 grades ahead of where I'm supposed to be in math. I'm a supposed to be a freshman but I'm in 10th grade with 11th grade algebra 2. I know what I'm doing.

Answer 21

*jaw drops*

Answer 22

Pooja I want errinss to figure it out for themselves. That way they learn something not just repeat words you hand out.

Answer 23

herself...

Answer 24

I thought so but you never know on the internet :P

Answer 25

X'D

Answer 26

5.8 is correct. You can even double check this. Instead of x, do 5.8

5.8^2 = ?

Find ?

Answer 27

33.64...

Answer 28

Good. And since this isn't the full 5.8 number it is correct. you can round 33.64 up to 34.

Answer 29

Cheez has the right idea
although I'm not sure where you got your "3" and "5" in your above explanation :)

Answer 30

need any more help?

Answer 31

@errinss We square rooted both sides which cancelled out the ^2
Since we are working with square roots it's best to leave the square root as it is.
\[\huge~\rm~\bf~\sqrt{x^2}=\sqrt{34}\]
You got to this part
\[\huge~\rm~x=\sqrt{34}\]
From the previous ones we have been doing, any square root will have two answers e.g:
x^2=25
we would have
5 x 5=25
-5 x -5=25
we would have x=-5 or 5
Because if we ^2 a number by itself regardless if its negative or postive you will get the same solution.

Answer 32

lol ya

Answer 33

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Cheez
Good. And since this isn't the full 5.8 number it is correct. you can round 33.64 up to 34.
\(\color{#0cbb34}{\text{End of Quote}}\)
You got the same answer.

Answer 34

But a different way.

Answer 35

And my way didn't include a bunch of mumbo jumbo. I'm teaching it the easier way.

Answer 36

im lost..... pooja are you trying to prove a point...im not seeing it

Answer 37

cheez, I never learned how to do it your way
where did you get the "3" and the "5"?

Answer 38

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Cheez
And my way didn't include a bunch of mumbo jumbo. I'm teaching it the easier way.
\(\color{#0cbb34}{\text{End of Quote}}\)
Alright, I'll let you take over then. :-) Sorry for confusing you @errinss

Answer 39

I meant * not 5 but I typed. Its 5.83 is 3 larger than 8.

Answer 40

3 is not larger than 8.

Answer 41

What is the value of y?

3y^2 − 6 = 42

Answer 42

I remember how to get that 25 < 34 < 36
but I'm not sure who you got that decimal after that.

Answer 43

I didn't see an explanation for that either

Answer 44

*lost in the clouds*

Answer 45

errinss, perhaps try asking your new question in a new question post :)

Answer 46

no need for a new post, but you can if you want. Add the six to both sides. Divide both sides by 3. then sqrt. What do you get?

Answer 47

nvm nvm
I see it now
I was thinking about doing it by hand (I'm old, that's how we did it back in the day)
you had just been guiding on how to round, I see, sorry about the confusion .-.