The following triangle shows the length of each side using expressions.
1 answer:
You might be interested in
ANSWER
One real root.
EXPLANATION
The graph of the function
is shown in the attachment.
According to the Fundamental Theorem of Algebra, this function must have 3 roots including real and complex roots.
The x-intercepts gives the number of real roots.
Observe that the graph has only one intercept.
This implies that, the equation:
has only one real solution.
Since <em>N</em>/2 leaves a remainder, <em>N</em> must be odd and ends with 1, 3, 5, 7, or 9.
<em>N</em>/5 also leaves a remainder, so <em>N</em> is not divisible by 5, so it does not end in 5.
The only correct choice is then 9, since
1 = 0•5 + 1 and 1 = 0•2 + 1
3 = 0•5 + 3 and 3 = 1•2 + 1
7 = 1•5 + 2 and 7 = 3•2 + 1
9 = 1•5 + <u>4</u> and 9 = 4•2 + <u>1</u>
<u />
Alternatively, the given information is equivalent to saying
Then you can use the Chinese remainder theorem to find <em>N</em>.