Solving Equations Assignment Example | Topics and Well Written Essays - 1000 words

Solving Equations - concession ExampleIn this project, Bluman (2004, p. 331) challenged students to examine an equation, x2 x + 41, which purportedly yields prime total. Students choose metrical composition to substitute to x in the formula and observe if prime numbers occur. An added challenge was to venture into finding a number, which when substituted in the given equation, will takings in a abstruse number.It is presupposed that a prime number is single whose factors are itself and 1, is common knowledge. On the other hand, a composite number may not be that much of a common knowledge. A definition is thus, provided a composite number is any unharmed number greater than one that is not a prime number it always has at to the lowest degree one divisor other than itself and 1 (p. 175).Based on the instructors specifications, numbers to be substituted should include zero (0), any two even numbers and any two odd numbers. The numbers chosen for substitution aside from 0 were 10 and 16 and 9 and 11. Table 1 presents the computations knotty in this project in five columns the given equation, the number substituted, the computation, the result and an indicator of whether the result is a prime or a composite number.As shown in Table 1, all the five numbers substituted to the equation yielded all prime numbers. However, the greater challenge in this project was to find if the equation could withal yield composite numbers. For this purpose, an attempt was made to find results which are composite number using the depression 201 integers from 0 -200, which should serve as the delimitation for the scope of the substitutions. This mini-experiment revealed that the equation x2 x + 41 does not result in all prime numbers.Substituting 0 40 yielded all prime numbers. From 41 onwards, some composite number outcomes were found. Table 2 shows the numbers substituted which came out with non-prime or composite results, together with the factors of the composite numb er other than one and itself. The substituted