Question

write some intelligent and intresting mathematical proofs.


plxzzzzzzz☺☺☺☺☺☺

Answer 1

:-Theorem 1 (Euclid). There are infinitely many prime numbers.

For those of you who don’t remember, a prime number is a positive integer p > 1 that cannot be written as a product of two strictly

smaller positive integers a and b. For example, the number 91 is not

prime since it can be written as 91 = 13·7, but 67 is a prime. Although

most people have a hunch that there are infinitely many primes, it is

not obvious at all. Even today with the powerful computers, all we

can do is to verify that there are very large prime numbers, but we

:-Theorem 2 (the Fundamental Theorem of Algebra). Let p(x) be a non

constant polynomial whose coefficients are complex numbers. Then the

equation f(x) = 0 has a solution in complex numbers.

:-For any two positive numbers x and y,

(∗)

√

xy ≤

x + y

2

.

Proof. Suppose that x and y are positive numbers. Then (√

x−

√y)

2 ≥

0. By algebra this implies that x + y − 2

√

x

√y ≥ 0. Moving 2√

x

√y

:-Theorem 4. Let A and B be two sets. If A ∪ B = A ∩ B then A ⊆ B.

Proof. Assume that A ∪ B = A ∩ B. We shall prove that x ∈ A =⇒

x ∈ B, which by definition is equivalent to the consequence of the

theorem. Assume that x ∈ A. Since A ⊆ A ∪ B, then x ∈ A ∪ B. We

assumed that A ∪ B = A ∩ B, so x ∈ A ∩ B. Finally, A ∩ B ⊆ B, so

consequently, x ∈ B. This concludes the proof!!!!

Only this Mathematicals Proof i Know

Answer 2

Here is your answer mate✌️✌️

To prove: 0/0 = 2
proof : let 0/0 = 100 - 100 / 100 - 100
=10^2 - 10^2 / 10 (10 - 10)
then (10+10) (10-10) / 10 (10-10)
=10+10 / 10 = 20/2
= 2
hence proved