Question

help please

Answer 1

@ TETSXPREME

Answer 2

Sure! What's the problem/concept you need help on? :-)

Answer 3

Select all the solutions to the equation 7^2=343 .
Group of answer choices

49

−7‾√

7

−7

49‾‾‾√

−49‾‾‾‾√

−49‾‾‾√

Answer 4

Hmm. Is this what your answer choices look like?\[49\]\[\sqrt{-7}\]\[7\]\[-7\]\[\sqrt{49}\]\[\sqrt{-49}\]\[-\sqrt{49}\]

And I assume your question is this: "Select all the solutions to the equation \(7^{2}=343\)
...hmm, but maybe a variable is missing?

Perhaps we could try screenshotting the original question.

Answer 5

7 exponent 2 = 343 . wouldnt you divide ??

Answer 6

I think so

Answer 7

@smurfofficial do you have any way to screenshot your question so we can make sure?

Answer 8

let me reload be right back

Answer 9

oki

Answer 10

I can't find my screenshot

Answer 11

got it

Answer 12

Ah, so there was a variable. Okay, let's start over then:\[7x^{2}=343\]We're going to need to "isolate" the variable (get it alone). What should our first step be then?

(Hint: division)

Answer 13

first is 79x=343

Answer 14

?

Answer 15

dont we have to do 7x^2

Answer 16

What do you mean?

Answer 17

it says 7x^2=343

Answer 18

Yes, so which step should you go with first?

Answer 19

I believe it should be eponets?

Answer 20

Exponents? No, but you're close.
Here's another hint: On the left side of the equation, we have \(7x^{2}\) which can also be read as:\[7\cdot x^{2}\]To "isolate the variable" which step should we take first?

Answer 21

7•x^2 which will be 49

Answer 22

No, that would be \((7x)^{2}\). We have \(7x^2\) which as I said is synonymous (same thing as) with \(7\times x^2\)

Answer 23

I think I might have explained badly. The point of this problem is to solve for the variable (letter) \(x\). So we have to "isolate the variable" to find what it equals.

That being said, how are we gonna get \(x\) by itself from \(7x^2\)?

Answer 24

@smurfofficial how are you doing? Feel free to ask if you got stuck.

Answer 25

im lost competly

Answer 26

Okay, we can start over. So you have this equation here and they want you to solve it:\[7x^{2}=343\]You see there is a letter in this equation, right? That's called a "variable" and to solve we need to find the NUMBER value of that variable.

With me so far?

Answer 27

yeah

Answer 28

Okay. So the next step is to isolate the variable. "Isolate" means to get alone, so we need to have the final equation format as:\[x=\text{some number value}\]That being said, we first need to get everything else on the right side of the equals sign. So what should our first step be?

Hint: you will need to divide first.

Answer 29

okay

Answer 30

I divdied 343 from 7

Answer 31

Wait, what?

Answer 32

and I got 49

Answer 33

everything I do keep getting 49

Answer 34

What do you mean by "divided 343 from 7" ...? Did you mean this?\[343\div7\]

Answer 35

yes

Answer 36

Okay, that's correct!
So step two then:\[\frac{7x^2}{7}=\frac{343}{7}\]which you said was 49 on the right side. So now we have:\[x^2=49\]Remember, we need to find the NUMBER VALUE of the variable \(x\). So where do we go from here?

Answer 37

sqaure root of 49 is 7

Answer 38

Ooh, close. Square roots have two answers actually! It depends on the context of your question which one you end up using. Here's how the rule works:\[\sqrt{A}=\pm B\]or:\(\sqrt{A}=+B,-B\). Based on this, what answer choices qualify for the following below?\[x=\sqrt{49}\]

Answer 39

confusng me again

Answer 40

Sorry! Square roots have a positive and negative result is what I meant. :p

Answer 41

But if you were solving for something that can only be measured in positive (like how far it is from Las Vegas to Los Angeles, for example) values then you would only use the positive result.

There's no context here though so you'd use both negative and positive.
With me so far?

Answer 42

I think so

Answer 43

Okay. So this part: \(x=\sqrt{49}\) should have two answers when you solve it. Do you know what those two answers would be?

Answer 44

@smurfofficial All good? I can re-explain if you're confused.

Answer 45

Please explain in a different way

Answer 46

Alright, let's start from the last part:\[x^2=49\]We have to square root both sides to get the variable alone:\[\sqrt{x^2}=\sqrt{49}\]And now we end up with this:\[x=\sqrt{49}\]By the way... I noticed this is one of the answer choices.

Answer 47

But you can keep going from here! As you said, 7 would be the square root... but remember that square roots have both POSITIVE and NEGATIVE answers. So actually:\[x=\sqrt{49}=\pm7\]or this:\[x=-7,+7\]To summarize, your answers are \(x=\sqrt{49}\), \(x=-7\) and \(x=7\). Hope that clears things up!

Answer 48

@kittybasil thank you for helping me and explaining it to me, I show my Aunt tete what you just did and she explaining it to me more. Thank you.

Answer 49

Alright. Good luck on your work/studies! :-)

Answer 50

thank you