Can you Solve Oxford University Pure Mathematics Entrance Exam ?

  Рет қаралды 542

Super Academy

Super Academy

Күн бұрын

Пікірлер: 1
@key_board_x
@key_board_x 3 сағат бұрын
√{3√[3.(x + 1).√{3.(x + 1)}]} = 9 → where: (x + 1) ≥ 0 → x ≥ - 1 3√[3.(x + 1).√{3.(x + 1)}] = 81 √[3.(x + 1).√{3.(x + 1)}] = 27 3.(x + 1).√{3.(x + 1)} = 729 (x + 1).√{3.(x + 1)} = 243 √{3.(x + 1)} = 243/(x + 1) 3.(x + 1) = 243²/(x + 1)² 3 = 243²/(x + 1)³ 3.(x + 1)³ = 243² (x + 1)³ = 19683 (x + 1)³ - 19683 = 0 (x + 1)³ - 27³ = 0 → recall: a³ - b³ = (a - b).(a² + ab + b²) [(x + 1) - 27].[(x + 1)² + 27.(x + 1) + 27²] = 0 (x + 1 - 27).(x² + 2x + 1 + 27x + 27 + 729) = 0 (x - 26).(x² + 29x + 757) = 0 First case: (x - 26) = 0 x - 26 = 0 x = 26 Second case: (x² + 29x + 757) = 0 x² + 29x + 757 = 0 Δ = 29² - (4 * 757) = 841 - 3028 = - 2187 ← negative value, we stop here
Can you Simplify Oxford University Entrance Interview ?
11:29
Super Academy
Рет қаралды 5 М.
A simple question most people get wrong
9:10
MindYourDecisions
Рет қаралды 95 М.
Will A Basketball Boat Hold My Weight?
00:30
MrBeast
Рет қаралды 130 МЛН
Can you Solve a tricky Entrance Exam from Cambridge University ?
12:21
The Hardest Exam Question | Only 6% of students solved it correctly
17:42
Higher Mathematics
Рет қаралды 139 М.
Harvard University Entrance Aptitude test Tricks
23:15
Super Academy
Рет қаралды 4,8 М.
Are these words "untranslatable" into English?
23:03
RobWords
Рет қаралды 482 М.
Can you Solve Pure Mathematics from Oxford University ? | 8^k+2^k=5
16:41
Stanford University Olympiad | Can you solve it? | X=?
9:09
Alamaths
Рет қаралды 30 М.
1995 British Mathematics Olympiad problem
20:59
Prime Newtons
Рет қаралды 187 М.
Can you Solve Cambridge University Admission Interview Question ?
12:36
A tricky problem from Harvard University Interview
18:11
Higher Mathematics
Рет қаралды 214 М.