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International Math Olympiad
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Nice Square Root Math Simplification
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15 окт 2024

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Комментарии : 11   
@thelifeclass
@thelifeclass 2 месяца назад
Interesting 🎉
@jailsonhonorato8409
@jailsonhonorato8409 2 месяца назад
Thank you!
@MasterTMathsClass
@MasterTMathsClass 2 месяца назад
You're welcome!
@hectorromero5086
@hectorromero5086 2 месяца назад
x = 3️⃣6️⃣ 🇦🇷
@hectorromero5086
@hectorromero5086 2 месяца назад
Yo lo hice así: (√x-11)²= (11-√x)² x-11=121-22√x+x 132-22√x= √x= 132/22 x= 6² x= 3️⃣6️⃣🤗
@milachalabian6720
@milachalabian6720 2 месяца назад
\/ (X-11) = 11- \/ X X - 11 = 121 - 2×11×\/ X + X 12 - 2 ×\/ X = 0 \/ X =6 X = 36. Всего 5 строчек !
@VictorPensioner
@VictorPensioner 2 месяца назад
Let x = t² Then √x + √(x-11) = t + √(t² - 11) = 11 or √(t² - 11) = 11 - t => t² - 11 = (11 - t)² or t² - 11 = 121 - 22t + t² => 22t = 132 => t = 6 => x = 6 * 6 = 36 Solution is x = 36
@MasterTMathsClass
@MasterTMathsClass 2 месяца назад
🎉
@mikiokabe6689
@mikiokabe6689 2 месяца назад
I guessed X =36 without solving.
@alansun70
@alansun70 2 месяца назад
The x^2's cancel out.
@N_Kumar26
@N_Kumar26 2 месяца назад
√𝑥+√𝑥−11=11 (√𝑥+√𝑥−11)(√𝑥−√𝑥−11) =36(√𝑥−√𝑥−11) x-(x-11)=11(√𝑥−√𝑥−11) 11=11(√𝑥−√x−11) √𝑥−(√𝑥−11)=1 ......eq 1 √𝑥+(√𝑥−11)=11 ......eq 2 Add 2√𝑥=12 √𝑥=6 X=36
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