<span> x^4 - 8x^3 + 17x^2 - 8x + 16 = 0
x^4 - 8x^3 + 16x^2 + x^2 - 8x + 16 = 0
x^2(x^2 - 8x + 16) + (x^2 - 8x + 16) = 0
(x^2 + 1)(x^2 - 8x + 16) = 0
(x^2 + 1)(x - 4)^2 = 0
x^2 + 1 = 0 or x - 4 = 0
x^2 = -1 or x = 4
x = +/- i or x = 4
Technically there are 2 imaginary solutions and 1 real solution.
However, since the real solution occurs twice (multiplicity 2), you
could say there are 2 real solutions (although they're the same). So the
second answer would apply. </span>
Answer:
<u></u>
Explanation:
Determining the <em>domain</em> of the function P(x) = 2x + 8 is very trivial and does not require the uses of separate intervals.
The domain of a function is the set of input values (x) for which the function is defined. Thus, the domain of P(x) = 2x + 8 is all the real number, which in interval notaion is:
The symbol ∞ is used to indicate that there is not limit for the value of x: it can goe from any negative number to any positive number).
For didactic purposes let's determine the domain of the function
P(x) = 2/(x+8).
In this case, the function is not defined when the denominator equals 0.
Then, the domain excludes the values for which x + 8 = 0.
Then, the solution is all the real numbers different to - 8.
In <em>interval notation</em> it is:
In form of <em>inequaliy</em> that is:
That means, all the real numbers less than - 8 and all the real numbers greater than 8.
You distribute the two in the parenthesis and add both the x and then the 18 and 2 which gives you 20 ;X=20
Answer:
Step-by-step explanation:
He already has songs = 41
Since we are given that he purchase four songs every week .
So, in first week he purchase songs = 4
Initially he already has 41 songs
So, total songs after 1 week = 
After 2 weeks he will have songs = 
This forms an arithmetic sequence : 41,45,49......
Formula of nth term in A.P. : 
a = first term = 41
d = common difference = 45-41=49-45=4
Since we are required to find the new songs after110 weeks
So, n =110
Substituting values :
Thus Option A is correct.
