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Maths Olympiad Daily Problems
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This channel is created for maths lovers and maths Olympiad aspirants who loves to solve daily some good level of thinking problems in maths.also we discuss those problems https://t.me/mathproblemsdiscussiongroup and we can send our doubts in maths.
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[JEE ADV 2006]
Let a and b be the roots of the equation
x² - 10сх – 11d = 0 and those of
x² – 10аx – 11b = 0 are c, d then find the value of a+ b+ c +d,
assuming that a, b, c, d are distinct.
Find the number of Pairs of positive integers (a,b) such that a<=b and LCM(a,b)=2³.3².5
Question :- let p(n) = x²⁰²⁵ and Q(x) = x⁴+x³+2x²+x+1. Let R(x) be the Remainder when p(x) is divided by Q(x). Find R(3).
Can anyone verify the answer is it 53
Prove that the beatty sequence of the golden ratio and its square form a partition of the integers.
