17)
x² + 8 = -8
x² = -8 - 8
x² = 16
x = ±√-16
x = ±√16i
x = <span>±4i
</span>
18)
x² + 5 = -3
x² = -3 - 5
x² = -8
x = ±√-8
x = ±√8i
x = ±2√2i
19)
x² + 3 = 0
x² = -3
x = ±√-3
x = <span>±</span>√3i
hope this helps, God bless!
Answer:

Step-by-step explanation:
Hello,
I assume that we are working in
, otherwise there is only one zero which is 1. Please consider the following.
First of all, <u>we can notice that 1 is a trivial solution</u> as

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

Let's identify like terms as below.
a-1 = -5 <=> a = -5 + 1 = -4
b-a = 33
-b = -29 <=> b = 29
So

Now, we need to find the zeroes of the second factor, meaning finding x so that:

Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
Step-by-step explanation:
Answer:
A. x + y > 30 8x + 10y ≥ 450
Step-by-step explanation:
x+y bunnies and puppies has to be greater than 30 (in amount)
the amount of money need to be greater than or equal to 450 for both x bunnies and y puppies.
Answer:
Step-by-step explanation:
x-intercepts exist where y is equal to 0. Where y is equal to 0 is where the graph goes through the x-axis. Our x-intercepts are (2x-3), (x + 3), and (x-4). Again, since x-intercepts exist where y = 0, then by the Zero Product Property, 2x - 3 = 0, x - 4 = 0, and x + 3 = 0. In the first x-intercept:
2x - 3 = 0 and
2x = 3 so
x = 3/2
In the second:
x - 4 = 0 so
x = 4
In the third:
x + 3 = 0 so
x = -3
So the x-intercepts in the correct order are x = 3/2, 4, -3