Rather than sometimes interpreting sqrt(25) as 5 and sometimes as +/- 5 (9:00 - 9:40 in video), you could always interpret it (correctly) as 5. For this to work (relative to a problem like x^2 = 25), you would note that sqrt(x^2) = abs(x) [absolute value]. So from x^2 = 25, taking the (principal--i.e., nonnegative) square root of both sides, you get abs(x) = 5. Values of x = 5 and x = -5 satisfy this equation, as one would hope.
@gavindeane36707 ай бұрын
Exactly. The other way of expressing it is: x² = 25 therefore x = ±√25 = ±5
@konstantinossimatos34662 ай бұрын
3-sqrt(2m+2)=8. Simple mathematics: 2m+2 >=0 (working with Real numbers the under the square root expression must be always greater or equal to zero). Is it possible to subtract a value that is >=0 from 3 and get 8? Solution: 'null'.
@Hewhowalks-fv5mq8 ай бұрын
Thanks I could get to the end but was unable to remember the principle square root because I knew the result had to be negitive
@erembald29278 ай бұрын
I'll stick my head out m= 23/2, rearranging; 3 - 8 = (2m+2)^0.5, therefore; -5 = (2m+2)^0.5, squaring both sides; 25 = 2m+2, resolving for m = 23/2
@erembald29278 ай бұрын
damn forget to check it 🙂
@jineenawarburton26602 ай бұрын
I am a middle school teacher trying to pass my Praxis 5165 test for my math endorsement. Is this a class for students or for teachers trying to pass Praxis 5165 test? Please advise. I see all of the comments are referring to students, not teachers. I just don't want to spend the money if it's not what will help me personally. I teach 7th & 8th grade Math.
@zackeeu6 ай бұрын
I am studying for 5165, and I really wanted to like this video and this channel. But there is WAY too much pointless talking here. The math instruction is great, but it's just too inefficeint to deal with. This literally could/should have been a 3-minute vid.
@krunoslavregvar4778 ай бұрын
d) null (no solutions)
@josephlaura73878 ай бұрын
a) 23/2
@Hi-rw8vr8 ай бұрын
Null. Add 3, you get: √ 2m+2 =8+3=11 Square it 2m+2=121 Subtract 2 2m=121-2=119 Half it m=119/2=59.5 As none of the options work for this, the answer is d) null.
@luisostasuc81358 ай бұрын
You wouldn't add 3 to each side, since it's positive, right?
@Hi-rw8vr8 ай бұрын
@@luisostasuc8135 shoot, you’re right. Fixed version: Add √ 2m+2 3=8+√ 2m+2 Subtract 8 -5= √2m+2 Square it 25=2m+2 Subtract 2 23=2m Half it 23/2=m Therefore the answer is 23/2 However, -5 cannot be the square root of a number. Though (-5)² is 25, the square root is the absolute value and cannot be a negative number. This means the answer is still null.
@thelazyvegan22576 ай бұрын
Wouldn't you know the answer is null when you have a square root = to a negative number?
@gavindeane36706 ай бұрын
Yes. There's no need to go any further than that. As soon as you have √(something) = (a negative number) then you know you have an impossible equation.
@bravewave20848 ай бұрын
Mmm. That was fun. I want some more. Vaguely familiar...
@herbertklumpp29698 ай бұрын
Sqrt >=0 conclude. 3- sqrt
@DominicMazoch8 ай бұрын
Praxis is also a Klingon moon!
@luisostasuc81358 ай бұрын
My first quick calculation got 23/2, but then I remembered that negative, and it isn't in the answer that way. It will be interesting to see where i went wrong on this
@tevman698 ай бұрын
chatGPT got m=23/2, too. So much for AI, again.
@gavindeane36707 ай бұрын
Write out 100 times: A large language model AI is not a calculator!!!
@tevman697 ай бұрын
@@gavindeane3670 👍👍👍👍👍
@RustyWalker8 ай бұрын
D. Null
@alessioandreoli21458 ай бұрын
No solution. -sqrt(2m+2)=5
@russelllomando84608 ай бұрын
got it null no other option proved correct or satisfied the equation thanks for the fun