Complicated Algebra Problem with Square Roots, Radicals, & Exponents #shorts #maths #math

[brycejohansen]

I went with 64 because it's the only one that square roots evenly

[stereoroid]

It’s simpler than that. We know 49 = 7^2 = √7^4, so the exponent of √7 must come out to 4. Which is √16 = √(24-8) or √(24-(√64)).

[SH-xgts]

I dont remember any of this stuff anymore.. but you made it easy to understand. Thank you.

[carteri]

I haven't done math problems since 2019 but this makes me excited, great short

[FaeRose]

i love the "not today" option lmaooo how is no one talking about this

[muscleandimports]

When he said, "almost done" I felt that because I was already lost about 5 steps ago..

[FrankCordovaMileHighBorn]

I swear, the education department needs more math teachers like you. Keep it going man.

[mathmachine]

ln(7)/2*√(24-√x)=2ln(7)
√(24-√x)=4
24-√x=16
√x=8
x=64

If we allow for complex solutions, however,
ln(7)/2*√(24-√x)=2ln(7)+2πNi, where N is any integer
√(24-√x)=4+2πNi/ln(7)

√x=8-16πNi/ln(7)+4π²N²/ln(7)²
The real part of this is positive, so it will always be the principal square root of its own square.
√x=24-(4+2πNi/ln(7))²
x=(24-(4+2πNi/ln(7))²)²
Now let's clean that up a bit
x=(24-4(2+πNi/ln(7))²)²

x=16(6-(2+πNi/ln(7))²)²
Where N is any integer.

[ineedhoez]

Dude... this would have saved me so many tears in middle school

[kier_q]

I'm after big physics exam, and wanted to scroll down, I'm just tired, but you saying "Don't worry we'll done it in less than 60 seconds" got me stayed and watch

[ITSJUSTMEFORNOW]

Guessing C is what got me through all my hard questions in school

[michaelbailey]

Honestly I was super worried until you reassured me how quick we can solve this. I mean thank god finally

[__dm__]

You should always check your assumptions when working with square roots. In this case it’s fine, but the argument on each square root must be positive for the answer to work, and whenever you square both sides there is an implicit assumption that the “other side” of the square root is positive.

In this case it’s not really a biggie but you should always check

[nailedthepotato]

The simpler and easier solution in this case is by elimination of answers.
We know 49=7²=(sqrt(7))⁴ so the solution above must be a whole number.
Sqrt(12) isn't a whole number.
Sqrt(50) isn't a whole number.
So we are left with sqrt(64) meaning that is the answer.

[no_signal_]

I walked away for 10 seconds and came back to an equation for a time machine bruh

[Cysfer]

And 64 is the only answer that is a perfect square.

[dma]

these questions look difficult but this guy makes it 100x easier

[yiutungwong]

√7^4 = 49
24 -√X = 4^2
-√X = -8
X = 64
C.

[TheBaggyT]

Very nice question. I like it.
And well explained too.

[majksa]

You should also check that 64 actually is the correct answer, because square roots are involved. (e.g. √x = -2; square both sides; x = 4; but that's not true, because a square root cannot be equal to a negative power <=> L = √4 = 2, R = -2, L != R