Math Olympiad | A Beautiful Exponential Problem | VIJAY Maths
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Пікірлер: 11
Thanks sir, For the memory booster example.... . .
great explanation
👏👏👏
High concentration and high flexibility by best explanation, thanks too much sir.
In the end you got a^2 + b^2 + ab You could have written it as (a + b)^2 - ab = 74^2 - (25 x 49) This is much easier to calculate.
One of the best example I liked 👍
4251
Math Olympiad: √[(5⁸ + 7⁸ + 74⁴)/2] = ? Let: a = 25, b = 49; 5⁸ + 7⁸ + 74⁴ = 25⁴ + 49⁴ + (25 + 49)⁴ = a⁴ + b⁴ + (a + b)⁴ a⁴ + b⁴ + (a + b)⁴ = a⁴ + b⁴ + (a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴) = 2(a⁴ + 2a³b + 3a²b² + 2ab³ + b⁴) = 2[(a⁴ + 2a²b² + b⁴) + (2a³b + 2ab³) + a²b²] = 2[(a² + b²)² + 2ab(a² + b²) + a²b²] = 2(a² + ab + b²)² √[(5⁸ + 7⁸ + 74⁴)/2] = [√2(a² + ab + b²)²/2] = a² + ab + b² = 25² + (25)(49) + 49² = 625 + 25(50 - 1) + (50 - 1)² = 625 + 1250 - 25 + 2500 - 100 + 1 = 4251
Very nice but typical problem
@vijaymaths5483
8 күн бұрын
Thank you ⚘️