Equation Solving | These mathematical rules will help you | Algebra👍

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Higher Mathematics

Higher Mathematics

22 күн бұрын

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You should know this trick ! Math Olympiad Question.
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Пікірлер: 9
@DanDart
@DanDart 20 күн бұрын
At the beginning, I was almost shouting "2, it's 2"... And of course I miss the obvious 1 :p Captivating!
@user-wo6qn3vf9n
@user-wo6qn3vf9n 20 күн бұрын
X markes the spot.
@diegotipiego1921
@diegotipiego1921 20 күн бұрын
I solved it by writing x^x=x^2 as e^ln(x^x)=e^ln(x^2) so then you can apply the logaritm exponent rule and write it as e^(xlnx)=e^(2lnx). Then we can say xlnx=2lnx, subtract 2lnx from both sides and we get xlnx-2lnx=0 and by factoring it becomes (x-2)lnx=0. So x=2 v x=1.
@DanDart
@DanDart 20 күн бұрын
Maybe it would help to explain just why 0 is not a valid answer for those convinced 0^0 has a value.
@dorfl9773
@dorfl9773 20 күн бұрын
0^0 is 1
@The_Commandblock
@The_Commandblock 20 күн бұрын
​@@dorfl9773only when you consider limits
@Kaljumees
@Kaljumees 20 күн бұрын
​@@dorfl9773nuhuh
@ezra7088
@ezra7088 20 күн бұрын
​@@dorfl9773I would say it kinda depends what kinda math you're doing. In calculus that's a useful answer, in other branches of math it's a less useful answer. But simply stating it's 1 when that is not the universally accepted position by experts is an oversimplification
@Yilmaz4
@Yilmaz4 20 күн бұрын
@@dorfl9773 0^0 is undefined, you can't deny this
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