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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
If k = (n + 2)(n - 2), where n is an integer greater than 2, what is the value of k?
Solution:
Additional information is required to solve the equation as the integer “n” can assume any value greater than 2.
Given: k = (n + 2)(n - 2)
Using the known algebraic identity of the difference of squares, we know that (n + 2)(n - 2) = n2-22
Thus k = n2-22
k = n2-4
Take values > 2 for n
k = 32-4= 5
k = 42-4= 12
k = 52-4=21
k = 62-4=32
k = 72-4= 45
and so on.
Thus the value of k ranges from 5 up to infinity. k = {5, 12, 21, 32, 45.....}
If k = (n + 2)(n - 2), where n is an integer greater than 2, what is the value of k?
Summary:
k = (n + 2)(n - 2), where n is an integer greater than 2. From the given information a single value of k cannot be found out. The value of k ranges from 5 up to infinity. k = {5, 12, 21, 32, 45.....}
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