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Math olympiad algebra equation | how to solve for x?
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ความคิดเห็น

  • @pelasgeuspelasgeus4634
    @pelasgeuspelasgeus4634 2 ชั่วโมงที่ผ่านมา

    Euler formula is simply wrong. One side is the exp function which tends to infinity and the other side is a sum of 2 trig functions each ranging from -1 to 1, ie it's finite. So, these 2 sides can't be equal.

    • @immovableobjectify
      @immovableobjectify ชั่วโมงที่ผ่านมา

      Euler's equation is well established. When the exponent of e is purely imaginary as it is here, the result has a magnitude of 1, and simply spins around the origin in the complex plane, not tending to infinity. Complex numbers are weird and unintuitive. Imaginary exponents are tough to wrap your head around.

    • @pelasgeuspelasgeus4634
      @pelasgeuspelasgeus4634 ชั่วโมงที่ผ่านมา

      @immovableobjectify Euler formula was derived by setting iθ in the exponent Taylor series. Right? But that exp series was validated for real numbers, not for imaginary numbers. So, using it to derive the formula was simply erroneous. And I described why it is erroneous. Try to understand it.

  • @Lalitsryalsar
    @Lalitsryalsar 3 ชั่วโมงที่ผ่านมา

    Two variables in one equation can not be solved separately.🎉🎉

  • @mynpostr
    @mynpostr 6 ชั่วโมงที่ผ่านมา

    писят два

  • @吳昶霖
    @吳昶霖 6 ชั่วโมงที่ผ่านมา

    1/14+1/(14×13)=1/13 則14+182=196

  • @sonicbreaker00
    @sonicbreaker00 7 ชั่วโมงที่ผ่านมา

    your answer is one of the infinitely-many values. this is because -1 = exp[i*(pi + 2*pi*n)] where n = ...,-2,-1,0,1,2,... therefore, the final answer is exp[i*pi^3/2 (1+2*n)] where n = ...,-2,-1,0,1,2,...

  • @DuncanMaggs
    @DuncanMaggs 12 ชั่วโมงที่ผ่านมา

    You need to write the pi symbol more clearly as it often appears as though you are writing the variable x!

  • @eliaskhoury1484
    @eliaskhoury1484 15 ชั่วโมงที่ผ่านมา

    438

  • @DanToomey-j8n
    @DanToomey-j8n 16 ชั่วโมงที่ผ่านมา

    -3 y. Course y -1 √>>t =202 D

  • @goofysigmainohio
    @goofysigmainohio 21 ชั่วโมงที่ผ่านมา

    how do you just manage to come up with 1681 as a factor in ur brain? is there any sort of way to find a factor of numbers give you a proper set? plz help

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i 17 ชั่วโมงที่ผ่านมา

      As we have to get a commen factor like (b+41) to simplify the solution by simple inspection, And as we know that 41×41 is equal to 1681. Therefore, while taking 41b and 1681 into factorizing taking out 41 commen...it will be giving desired factors. Hope you got it😌

  • @SGuerra
    @SGuerra วันที่ผ่านมา

    A questão é interessante, mas é preciso especificar melhor até que ponto deve- se resolvê-la. BRASIL Dezembro de 2024.

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i 17 ชั่วโมงที่ผ่านมา

      Alright Boss 😊 Thanks for sharing your precious feedback 😌

    • @ddichny
      @ddichny 15 ชั่วโมงที่ผ่านมา

      Could have gone straight from 2:52 to 4:46 without losing anyone.

  • @habeebalbarghothy6320
    @habeebalbarghothy6320 วันที่ผ่านมา

    How i root of i = 4.81

  • @naimyadally193
    @naimyadally193 วันที่ผ่านมา

    Too slow in writing.😂

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i วันที่ผ่านมา

      Yeah The exponents are in the way that can't be written fast...and it may cause any missunderstanding.

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i วันที่ผ่านมา

      You can watch it on 2x speed🤗

    • @musicsubicandcebu1774
      @musicsubicandcebu1774 วันที่ผ่านมา

      hold down left click, very useful

    • @xbia1
      @xbia1 วันที่ผ่านมา

      It's tedious to write the same expression over and over again.

    • @musicsubicandcebu1774
      @musicsubicandcebu1774 22 ชั่วโมงที่ผ่านมา

      @@xbia1 I agree, it breaks the flow.

  • @МаратДжаубаев-о6й
    @МаратДжаубаев-о6й วันที่ผ่านมา

    Решил за 25 секунд Ответ: e^(π/2)

  • @shashwatgupta4613
    @shashwatgupta4613 วันที่ผ่านมา

    I think this question is wrong I = exp(I *[pi/2 +2npi] ) So 1/I pow Gives Exp(pi/2*[1 + 4n]) So many boobs and noobs I the exponent 😊

  • @phaneshwarsreenivasa5225
    @phaneshwarsreenivasa5225 วันที่ผ่านมา

    Really use less

  • @desasf1
    @desasf1 วันที่ผ่านมา

    when I studied math, this was called rationalizing. And since you know where you want to go, don't go thru all this. Once you place everything under the 5th root. multiply them by 8/8 and be done with a rational denominator 2.

  • @RealQinnMalloryu4
    @RealQinnMalloryu4 วันที่ผ่านมา

    {2+4}=6 2^3 (x ➖ 3x+2).

  • @RealQinnMalloryu4
    @RealQinnMalloryu4 วันที่ผ่านมา

    1/(20)+1/(21)=1/41 /(10)+/(10^11) /(5^6) /(5^2^3)/(2^3^1^1) (2^3) (ab ➖ 3ab+2).

  • @ภพภูมิ-ผ8ฌ
    @ภพภูมิ-ผ8ฌ วันที่ผ่านมา

    How to know to add 169

  • @babacarka8161
    @babacarka8161 วันที่ผ่านมา

    Hello ,everybody ! Greetings! Thanks , respects and considerations to all of you ...! Let me say that , here everything is just wonderful but uncomplete ( sorry to underline) !!! We have an infinity of solutions for this equation ( or equality ) . Let : a not null , b not null, k not null ,1/a+1/b=1/13 and a=k*b (or b= k*a) . Solving the system : 1/a+1/b=1/13 and a=k*b we get : 13(a+b)=a*b 13(k*b+b)=k*b*b 13(k+1)b- k*b*b=0 b(13*k+13-k*b)=0 and b not null 13*k+13-k*b=0 From here , let find k K*b-13*k=13 K=(13)/(b-13) Fron there: a =k*b=(13b)/( b-13) b not egal to 13 , b >0 and a>0 , that means that b belongs to the interval ] +13; + infinity [ Now for any b belonging to the given interval we have : a+b=b(k+1)=( b*b)/(b-13) Thanks ! Fron a former African and Senegalese Student in Moscow, Russia!

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i วันที่ผ่านมา

      Great effort and brilliant approach Boss 🙂 Thanks for sharing your precious feedback 😌

  • @RealQinnMalloryu4
    @RealQinnMalloryu4 วันที่ผ่านมา

    x^6/729=1(x ➖ 1x+1).

  • @RealQinnMalloryu4
    @RealQinnMalloryu4 วันที่ผ่านมา

    (5 ➖ 2)^2^3 (2^3 ➖ 1)^1^1^1 (2^3) (x ➖ 3x+2).

  • @RealQinnMalloryu4
    @RealQinnMalloryu4 วันที่ผ่านมา

    (x^6+18)=18x^6 3^6x^6 3^2^3x^2^3 1^2^1x^1^3 2x^3 (x ➖ 3x+2).

  • @RealQinnMalloryu4
    @RealQinnMalloryu4 วันที่ผ่านมา

    (2)+(2)=4(y ➖ 2x+2). 4^4 2^2^2^2 1^2^1^1 21(xy ➖ 2xy+2).

  • @gabrielegaetanofronze6690
    @gabrielegaetanofronze6690 วันที่ผ่านมา

    Just use the exponential form and divide the exponent by 2 😁

  • @RealQinnMalloryu4
    @RealQinnMalloryu4 วันที่ผ่านมา

    (x ➖ 1ix+1i).

  • @dbaznr
    @dbaznr วันที่ผ่านมา

    So the answer to a meaningless problem is something so beautiful!!!😋

  • @MrStatguy76
    @MrStatguy76 วันที่ผ่านมา

    What is the purpose for the step of multiplying and dividing by 2?

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i วันที่ผ่านมา

      To make the power positive and to get a simpler answer 😊

    • @MrStatguy76
      @MrStatguy76 23 ชั่วโมงที่ผ่านมา

      I understand that now. Thank you!

  • @johannesannema8692
    @johannesannema8692 2 วันที่ผ่านมา

    Nice

  • @Kingur23
    @Kingur23 2 วันที่ผ่านมา

    A+b 82

  • @sinTom-o3r
    @sinTom-o3r 2 วันที่ผ่านมา

    분모통일시키면 ab=13 a+b=1바로나오자나 a=1-b b(1-b)=13 -b^2+b-13=0 이차방정식풀어서 b값 뽑으면 끝아님?

  • @Mathematics.0007
    @Mathematics.0007 2 วันที่ผ่านมา

    Well explained

  • @superchuck3259
    @superchuck3259 2 วันที่ผ่านมา

    Define "I" as X Squared. So then the square root of X Squared is X. Answer is X if you define "I" as X^2. But that is just not making the assumption that "I" means imaginary number.

  • @pabloregnier1808
    @pabloregnier1808 2 วันที่ผ่านมา

    But, what is the point of the "solution". You will recurr to the calculator anyway, and the solution is as hard as the problem. Nonsense, to me.

  • @pabloregnier1808
    @pabloregnier1808 2 วันที่ผ่านมา

    Mathematica gives this, 0.0000255089026236085942824535846310. Excel gives right the first 18 decimals. Is the answer of the vid.

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i วันที่ผ่านมา

      Answer of vid is not in decimal number...its just simpler form of original expression without using calculator 😌

    • @pabloregnier1808
      @pabloregnier1808 วันที่ผ่านมา

      @@MathBeast.channel-l9i Of course. There was a comment asking if 0.000025 etc. was correct, may be that person was confusing about it. I tried to put clear, as I said in my comment that the value is the same. In decimal form is less precise, yes.

  • @phungcanhngo
    @phungcanhngo 2 วันที่ผ่านมา

    Thank you professor for good solution.

  • @zetaconvex1987
    @zetaconvex1987 3 วันที่ผ่านมา

    You do realise, right, that the problem can be solved in 10 seconds?

  • @skkabir172
    @skkabir172 3 วันที่ผ่านมา

    Why not cancel the power on both sides X/3 = 2 X = 3*2 = 6 Check (6/3)⁶ = 2⁶ = 64 Done

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i 3 วันที่ผ่านมา

      You are right But it has one more real solution and 4 complex solutions also 😊

    • @skkabir172
      @skkabir172 3 วันที่ผ่านมา

      @@MathBeast.channel-l9i there is paper about what is equation . The complex solution sometimes doesn't justify the equation. In short, sometimes simplicity is just the best .

  • @Mathematicalexpression
    @Mathematicalexpression 3 วันที่ผ่านมา

    Класс

  • @와우-m1y
    @와우-m1y 3 วันที่ผ่านมา

    asnwer= a+b=15 isit

  • @zihaoooi787
    @zihaoooi787 3 วันที่ผ่านมา

    PRINCIPAL ROOT: 64 = 2^6 (x/3)^6= 2^6 x/3 = 2 x = 6 OTHER ROOTS: degree 6 polynomial, therefore we should convert this into Polar and rotate by π/3 so: 6∠0, 6∠π/3, 6∠2π/3, 6∠π, 6∠4π/3 and 6∠5π/3 are the solutions! if ya want rectangular just use rcos(θ) + i*rsin(θ), for r∠θ ±6 and ±3±3i√3

  • @Sanatanrastra22
    @Sanatanrastra22 4 วันที่ผ่านมา

    can we assume that if there is even power (same) on both LHS and RHS as in this case '6' then whatever will be value of x then it always well have same value in negative? Like on solving value of x was 6 so can we assume since it had even power(6) then it also will have same value but in negative(-6)? without actually solving the equation?

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i 4 วันที่ผ่านมา

      Thanks for sharing your kind review

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i 4 วันที่ผ่านมา

      I will be posting my review about your suggestion in while 🙂

  • @comdo777
    @comdo777 4 วันที่ผ่านมา

    ASNWER=4

    • @comdo777
      @comdo777 4 วันที่ผ่านมา

      asnwer=/3+-/3/3 isit

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i 4 วันที่ผ่านมา

      Yes.

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i 4 วันที่ผ่านมา

      But it have more solutions too. Total six solutions Two real roots And four complex roots

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i 4 วันที่ผ่านมา

      No... It should be 6. -+6

  • @汪韬
    @汪韬 4 วันที่ผ่านมา

    x/13+y/13=1/a+1/b x+y=1 x/13=......

  • @汪韬
    @汪韬 4 วันที่ผ่านมา

    0.5/13+0.5/13=1/a+1/b

  • @VoteScientist
    @VoteScientist 4 วันที่ผ่านมา

    Minus sign should be plus in next to last step

    • @MathBeast.channel-l9i
      @MathBeast.channel-l9i 4 วันที่ผ่านมา

      You are right 👍 I'm really sorry 😔 That's typo.

  • @robertogarrido8618
    @robertogarrido8618 4 วันที่ผ่านมา

    Your solution seems right. In fact, e (exp) pi/2 is a real number 4.810495. This number appears intuitively very strange. Can you please provide a proof that this solution is correct?

  • @المعتصمباللهاسامهالهوارى
    @المعتصمباللهاسامهالهوارى 5 วันที่ผ่านมา

    14

  • @musicsubicandcebu1774
    @musicsubicandcebu1774 5 วันที่ผ่านมา

    8:36 . . . (-2)(-23814) = +46368

  • @Sanatanrastra22
    @Sanatanrastra22 5 วันที่ผ่านมา

    (5^(1/2)-2)^8. let 5^(1/2) = a & 2= b then equation become (a-b)^8=[{(a-b)^2}^2]^2= [{(5^(1/2)-2)^2}^2]^2 using (a-b)^2=a^2+b^2-2ab {(5+4-4[5^(1/2)])^2}^2 {(9-4√5)^2}^2 again (a-b)^2=a^2+b^2-2ab (81+80-72√5)^2 (161-72√5)^2 using (a-b)^2=a^2+b^2-2ab (51841-23184√5)