How would you solve in algebraic terms the value of two numbers when one number is greater than the other number by 9 and their product is 322?
Let one number be x+9 and the other x:-
(x+9)*x = 322
x2+9x-322 = 0
Solving the above by means of the quadratic equation formula gives x a positive value of 14.
So the numbers are 14 and 14+9 = 23
Check: 14*23 = 322
Given a pair of numbers how can you tell whether their least common multiple will be less than or equal to their product?
A positive number is any number greater than zero. 1 is a positive number, so is 2, 2.5, 3.14159, 11, 11.25 etc 0.5 is a positive number. The product of two positive numbers is the result of multiplying them together. * 2 x 3 = 6 (the product). In this case the product is greater than either number. But... * 0.5 x 0.25 is 0.125. ~In this case the product is actually smaller than either…
An algebraic number is one which is a root of a polynomial equation with rational coefficients. All rational numbers are algebraic numbers. Irrational numbers such as square roots, cube roots, surds etc are algebraic but there are others that are not. A transcendental number is such a number: an irrational number that is not an algebraic number. pi and e (the base of the exponential function) are both transcendental.
"Either" is used for two. I'll assume that you mean "larger than ANY of them". The following applies to ANY real numbers.For TWO numbers, the product is larger than either of them if both numbers are greater than one. For THREE numbers, the product is larger than any of them if the two numbers OTHER than the largest number have a product greater than one. For example: 0.5, 3, 5 The largest number here is…
Is it true that when you multiply two natural numbers the product is never less than either of the two numbers?
If you wanted to find the largest possible product value of the sum of two numbers that equals the square root of 3 how would you do that?
What numbers greater then 0 can you multiply 3.2 by to make the product less than 3.2 great than 3.2 or equal to 3.2?
Is the product of a fraction less than 1 and whole number greater than or less than the whole number?
The product of two numbers could be either a composite number or a prime number. If one of those numbers is 1 and the other is a prime number, the result is that prime number. If neither number is 1, the product of the two numbers will be a composite number. If one of those numbers is 1 and the other is not a prime number, the product will not be a prime number. So…
Not always. Here are counterexamples: Cases involving 1: 1 x 1 = 1 1 x 3 = 3 Cases involving positive numbers less than 1: 0.5 x 10 = 5 0.5 x 0.5 = 0.25 Note that here we have positive numbers that are less than or equal to 1. When either number is less than 1, the product will not be greater than both numbers. Also, if either number is equal to 1, the…
Michel Waldschmidt has written: 'Diophantine Approximation on Linear Algebraic Groups' 'Transcendence methods' -- subject(s): Transcendental numbers, Algebraic number theory 'Linear independence of logarithms of algebraic numbers' -- subject(s): Linear algebraic groups, Linear dependence (Mathematics), Algebraic fields
In number theory, the fundamental theorem of arithmetic, 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 prime numbers, and that this product is unique, up to the order of the factors.