I have checked and the answer is x=7
In order for the polynomial to be a degree of 4, it must have exactly 4 roots. According to the fundamental theorem of algebra: "The number of roots in a function is equivalent to the degree of the function"
These roots do not have to be real numbers, which means they can be imaginary or complex.
In this case, (-11 - √2i), (3 + 4i), and 10. There are three roots, which means that the polynomial can be a third of fourth degree polynomial. It is wrong for Patricia to assume that this is a fourth degree polynomial when only three roots are known.
<h3><u>The degree of the polynomial will at least be three, but could be higher.</u></h3>
N = d - 5
2n/(d + 16) = n/d - 1/3 n/d
2n/(d + 16) = 2/3 n/d Divide by 2n
1 / (d + 16) = 1/3 d
Here's the tricky part.
d + 16 = 3d the two denominators are equal. the numerators are both 1.
16 = 2d
d = 8
so the numerator is d - 5
n = 8 - 5
n = 3
Let's see if it checks out.
n = 3
d = 8
2*3 = 6
8 + 16 = 24
New fraction 6/24 = 1/4
(3/8 - 1/3 ) = 1/8
3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.
The mean of the combined group is 71.3 --- hope this helps
We analyze the linear function to find that it has equation
. Drawing the line, we find that it
will intersect the circle at negative and positive x-coordinates.We can prove this by
substituting into the given equation:
Hence,
or
, so there are both positive and negative values for
.
