n · r = nr --> n & r are the factors , nr is the product n · n = n² · 5 = 125 5n² = 125 5n²/5 = 125/5 n² = 25 +/-√n² = √25 n = 5✅ n = -5✅ test: 5 · 5 = 25 · 5 = 125 -5 · -5 = 25 · 5 = 125
The question is deplorable english. I could not understand what you meant until I watched some of it I thought it was the product of a number [with what?] plus 5 times that number = 125
I've thought about this a bit more. The question is meant to be interpreted as n × 5n = 125 i.e. the first factor in the product is n and the second factor is 5n, and that's how people generally seem to have interpreted it. An argument could be made for interpreting it as (n × 5)×n = 125 i.e. the first factor in the product is n and the second factor is 5, then we multiply the result of that by n. Ultimately that's the same. But there's no way this can be interpreted as (n × ?) + 5n = 125 How did you manage to read it like that???
Nitpicking, I know, but, . . . . . your original question is a little vague. You asked for the number AND five times that number(s). So the grammatically correct answer(s) would be (5,25) AND (-5, -25) Four numbers, not two. IMO, you should have asked, "What are the numbers?"
You missed the key word in your statement. The problem asked to solve for the *product*, which needs at least two factors. "And" can only be interpreted as a separator of the factors of the product in this case.
There is only one unknown involved, the "number". So the product of the number multiplied by 5 time the number results in 5 time number squared = 125. Number squared = 125 divided by 5 = 25. Number = ±5.
There is a grammar error but that's not quite it. ±25 is definitely not part of the answer. The product of 25 and 5 × 25 is not 125. Neither is the product of -25 and 5 × -25. There's nothing wrong with the first sentence in the question. The second sentence should strictly say something like "What is or are the number(s)?" but that's the only nit you could pick.
n · r = nr --> n & r are the factors , nr is the product
n · n = n² · 5 = 125
5n² = 125
5n²/5 = 125/5
n² = 25 +/-√n² = √25 n = 5✅ n = -5✅
test:
5 · 5 = 25 · 5 = 125
-5 · -5 = 25 · 5 = 125
I always forget the negative side of things. Too much time dealing with real objects and numbers where negatives are never a valid solution I suppose.
outstanding teaching.
Took me plus or minus 5 seconds to solve in my head.
But I won't tell you the answer.
I see what you did there.
That is very cruel, taunting people like that!! Just for THAT, I'm gonna tell 'em the answer is ±5 !! So THERE!!!!
Thank you !
multiply (a number) × (5×number) = 125
(n)(5n)=125
n^2=25
n = +/-5
Thank you
5 & -5. 5n^2 =125, n^2 =25, n = +/- 5
I didn’t type a line through the above
x · 5x = 125, 5x² = 125, x² = 25, x = 5.
Another answer, if you want to nitpick, is -5.
n x 5n =125
5 x n^2 =125
n^2 =125/5
n^2 =25
n = 5
nice one. thanks for the fun.
x × 5x = 125
5x² = 125
x² = 25
x = ±5
The question is deplorable english.
I could not understand what you meant until I watched some of it
I thought it was the product of a number [with what?] plus 5 times that number = 125
I've thought about this a bit more.
The question is meant to be interpreted as
n × 5n = 125
i.e. the first factor in the product is n and the second factor is 5n, and that's how people generally seem to have interpreted it.
An argument could be made for interpreting it as
(n × 5)×n = 125
i.e. the first factor in the product is n and the second factor is 5, then we multiply the result of that by n. Ultimately that's the same.
But there's no way this can be interpreted as
(n × ?) + 5n = 125
How did you manage to read it like that???
25
The most simple answer is 5 to the third power or 5 times 5 times 5.
I just solved it like a bear: algeBEARically! (1:49)
X x 5x = 125/5 25 /5 =5 So x=5
Answer:
the number is +5 or -5
---------
Let the number be x.
x * 5x = 125
5x^2 = 125
x^2 = 125/5
x^2 = 25
x = +5 or -5
It smells like it’s a 5 x 25 =125
-5 and 5 5 × 5sq = 125 Easy one
25.
5
25 answer
The number is 5
25 , I think I’m right…
Huh... that's 5 and - 5 is also possible. Next !
Nitpicking, I know, but, . . . . . your original question is a little vague. You asked for the number AND five times that number(s). So the grammatically correct answer(s) would be (5,25) AND (-5, -25) Four numbers, not two. IMO, you should have asked, "What are the numbers?"
you are just not reading not nitpicking it's just ±5, the statement is x² • 5 = 125
You missed the key word in your statement. The problem asked to solve for the *product*, which needs at least two factors. "And" can only be interpreted as a separator of the factors of the product in this case.
The problem was properly worded.
There is only one unknown involved, the "number". So the product of the number multiplied by 5 time the number results in 5 time number squared = 125. Number squared = 125 divided by 5 = 25. Number = ±5.
There is a grammar error but that's not quite it.
±25 is definitely not part of the answer. The product of 25 and 5 × 25 is not 125. Neither is the product of -25 and 5 × -25.
There's nothing wrong with the first sentence in the question. The second sentence should strictly say something like "What is or are the number(s)?" but that's the only nit you could pick.
One look I knew it’s +-5. Very easy. That number is 5 times 125 , so that number is 25. But product is multiplied. So -5 and 5 both get 25.
It’s not complicated the number is five the second number being five times that is 25, 5×25 is 125
25
5