It is time to indulge in some Olympiad math! Let us look into one inequality problem.
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If a + b + c + d = 3s and all numbers are positive, show that (abcd)/81 is greater than or equal to the…
If a, b, a are the sides of a triangle with perimeter 2, show that a^2 + b^2 + c^2 + 2abc is less than…
Arithmetic mean is greater than or equal to Geometric mean. That is called AM – GM inequality. Here is a nice problem to show how…
We have a series: tan(1)tan(2) + tan(2)tan(3) + … + tan(2019)tan(2020). What is its value? Here is a summation problem involving trigonometric functions. Do you…
Find the product of four consecutive numbers. Add 1 to this product. Extract the square root of this expression. What is the value? How to…
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