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3. Fundamental Theorem of Arithmetic :-
Fundamental Theorem of Arithmetic states that every composite number greater than 1 can be expressed or factorized as a unique product of prime numbers (ignoring the order of the prime factors). It is also known as 'Unique Factorization Theorem' or the 'Unique Prime-Factorization Method.
4. The given equation is 2 x^2 + k x + 3 = 0
Here, a = 2 ; b = k ; c = 3
For equal roots, D = 0
So, b^2 - 4ac = 0
⇒ k^2 - 24 = 0
⇒ k = ± 2√6
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Q)state fundamental theorem of arithmetic ?
The fundamental theorem of arithmetic (FTA), also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is prime itself or is the product of a unique combination of prime numbers.
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