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@viektm4657
@viektm4657 Күн бұрын
🎉🎉
@franciscodeassisbrandaobra898
@franciscodeassisbrandaobra898 3 күн бұрын
excelente !!!
@igibaehimeng8695
@igibaehimeng8695 14 күн бұрын
Very hard
@MichałT-e3r
@MichałT-e3r 14 күн бұрын
Log(10) = 1
@Maths_Wonderland
@Maths_Wonderland 15 күн бұрын
Excellent! 🎉 Which app do you use to edit these videos?
@OlympiadMathExplorers
@OlympiadMathExplorers 14 күн бұрын
Canva app
@aliy9
@aliy9 20 күн бұрын
What songs name
@OlympiadMathExplorers
@OlympiadMathExplorers 19 күн бұрын
I don't know the exact song name. It's from KZbin library track name 'Statement'
@aliy9
@aliy9 19 күн бұрын
@@OlympiadMathExplorers 🍄
@PranitSuman
@PranitSuman 25 күн бұрын
Not mentioned a and b are integers so the last part is actually wrong
@PranitSuman
@PranitSuman 25 күн бұрын
Integers/Whole numbers/Natural numbers, get the point
@Im_a_toasterr
@Im_a_toasterr 25 күн бұрын
Real
@mjayapoornajha3832
@mjayapoornajha3832 29 күн бұрын
9
@badguys960
@badguys960 Ай бұрын
9
@BlueNEXUSGaming
@BlueNEXUSGaming Ай бұрын
You know what you didn't write? You didn't write it with the X getting replaced with the answer to prove your claim. Also, why are you using Trigonometry to solve this?
@ArpanBachar-u3b
@ArpanBachar-u3b Ай бұрын
Wow, this explanation was so clear and easy to follow! 🔥 Solved a tricky problem in no time-thanks for making math fun and understandable! 🙌📐
@OlympiadMathExplorers
@OlympiadMathExplorers Ай бұрын
You're very welcome!
@ArpanBachar-u3b
@ArpanBachar-u3b Ай бұрын
Wow, this explanation was so clear and easy to follow! 🔥 Solved a tricky problem in no time-thanks for making math fun and understandable! 🙌📐
@OlympiadMathExplorers
@OlympiadMathExplorers Ай бұрын
You're very welcome!
@ArpanBachar-u3b
@ArpanBachar-u3b Ай бұрын
Wow, this explanation was so clear and easy to follow! 🔥 Solved a tricky problem in no time-thanks for making math fun and understandable! 🙌📐
@OlympiadMathExplorers
@OlympiadMathExplorers Ай бұрын
You're very welcome!
@mohindersingh3453
@mohindersingh3453 Ай бұрын
We have three Unknowns And Three Equations Solve
@dawgenz
@dawgenz Ай бұрын
x could be -5
@OlympiadMathExplorers
@OlympiadMathExplorers Ай бұрын
Please put the x=5 in the expression and verify once
@dextro9322
@dextro9322 Ай бұрын
2^x = 20-x Y1= 2^x Y2=20-x Both are strictly increasing But y1 will faster than y2 So only one value satisfying both eqn X=1 X= 2 X= 3 X=4✓
@SabitaPanja-i2u
@SabitaPanja-i2u Ай бұрын
Good step by step explanation
@clueless888
@clueless888 Ай бұрын
How did we get to the conclusion that we have to multiply x by (x-3)?? You said we can see that right away but how?
@OlympiadMathExplorers
@OlympiadMathExplorers Ай бұрын
If we put the value of x=3 in the expression, then the expression becomes zero. Hence (x-3) will be a factor of the expression. That's why we multiply by (x-3)
@Maxed-Out-11
@Maxed-Out-11 Ай бұрын
This is just not the Cambridge Entrance exam
@refutedtestament
@refutedtestament Ай бұрын
This is a 5th grade question at best, no need to do allat
@delta_0d
@delta_0d Ай бұрын
Here's how I got it with an easier way (I think) : 2^x + x = 20 With the use of 2^(a+b) - 2^b = 2^a + 2ab we get : 2^(x + 0.5) - 2^0.5 = 20 2^(x + 0.5) - 0.25 = 20 2^(x + 0.5) = 20.25 x + 0.5 = 4.5 <--- root x = 4 (I'm not learning maths in English hope you understand :D)
@BPPEBFTSP
@BPPEBFTSP Ай бұрын
X=4
@a.s.physicist
@a.s.physicist Ай бұрын
Fr? ..i got the answer in 20 seconds
@TotalTimoTime
@TotalTimoTime Ай бұрын
1) 2^x is strongly monotonic increasing over the reals 2) x is strongly monotonic increasing over the reals => 2^x + x is strongly monotonic increasing over the reals 3) 2^x + x is continous With 1) and 2) => 2^x + x is bijective => there is only one value of x for which 2^x + x = 20 4) observe 2^4 + 4 = 20 => x = 4 With 3) The solution set is {4} Qed
@tiecron_anime.
@tiecron_anime. Ай бұрын
Hi
@OlympiadMathExplorers
@OlympiadMathExplorers Ай бұрын
Hello
@tiecron_anime.
@tiecron_anime. Ай бұрын
@@OlympiadMathExplorers hello
@OlympiadMathExplorers
@OlympiadMathExplorers Ай бұрын
How are you?
@delta_0d
@delta_0d Ай бұрын
@@OlympiadMathExplorers I'm fine, thank you for asking me
@LakshmiSudhar123-ne4nd
@LakshmiSudhar123-ne4nd Ай бұрын
3
@純虚数直線
@純虚数直線 Ай бұрын
ö
@Tumpitinyo
@Tumpitinyo Ай бұрын
Olympiad?