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Currently started learning chemistry and maths
With what values of m the equation has no solutions?
(1/5)^x = (m^2) - 4
1 AnswerMathematics1 week agoWith what a the solution is all real numbers?
With what value of a the solutions of the inequality are all real numbers?
1. 0.2^x+3 > a-2
2. (1/5)^x+3 > a^2-9a
1 AnswerMathematics1 week agoTricky math problem?
find all natural numbers n that satisfy the inequality a_1^2+a_2^2+...+a_n+1^2≥a_n+1 * (a_1+...+a_n) with all real a_1, a_2 ... a_n+1
2 AnswersAstronomy & Space1 week agoProve the inequality?
Prove that the inequality a^2+b^2+c^2≥c(a+b) is true with all real a,b,c
1 AnswerMathematics1 week agoFind all primes p and q that satisfies p|q+6 and q|p+7?
1 AnswerMathematics1 week agoInteresting hard probability question?
We have a stick of length 1. We break it at two random points. What is the probability that from the resulting 3 little sticks it will be possible to form a triangle?]
1 AnswerMathematics1 week agoProof by contradiction?
How to make a formal contradiction proof on this problem:
Given integers x and y, prove that 33x+132y≠57
3 AnswersMathematics1 week agoProve basic number theory statements?
What are the rigorous proofs for these two statements?
a) If n is an integer, then n(n+1)(n+2) is divisible by 6.
b) If n is a natural number then number's 8^n/15^n remainder when divided by 7 is 1
2 AnswersMathematics2 weeks agoHow to prove rigorously?
that any integer's square divided by 3 gives remainder 0 or 1.
3 AnswersMathematics2 weeks agoCombinatorics question?
How many ways are there to divide 5 indistinguishable candies among 3 distinguishable friends?
Note that all candies must be distributed, and people can receive 0 candies.
1 AnswerMathematics3 weeks agoProofs involving sets?
What are proofs to these problems
1) Let S and T be sets. Prove that S=T if and only if S-T=T-S
2) Let S and T be sets. Prove or disprove: S=T if and only if S-T⊆T
2 AnswersMathematics3 weeks agoMathematical proof?
I am asked to prove this statement in 3 ways: directly, contrapositively, and by contradiction. Could you share your proofs?
Given x∈Z, if 3x+1 is even, then 5x+2 is odd.
1 AnswerMathematics4 weeks agoMath problem?
Let x,y∈Z. Prove that if x and y have the same parity, then x^2+xy
1 AnswerMathematics4 weeks agoProof with absolute value?
Prove the following statement: let x, y ∈ R. Then |xy|=|x||y|
Hint: prove it by cases
2 AnswersMathematics4 weeks agoBasic math proofs?
Please share rigorous solutions to these basic math problems
1. Let a∈Z. Prove that if a^2+3 is odd, then a is even.
2. Let x,y∈Z. If xy+y^2 is even, then x is odd or y is even.
1 AnswerMathematics4 weeks agoMath proof question?
Please prove/disprove the preposition that every positive number is ≥1
3 AnswersMathematics1 month ago