Answer:
x can be 3, -3, i, or -i.
Step-by-step explanation:
If you can't find the factoring by looking at this, simplify the equation.
let
x
2
=
y
to make things easier to see
Now we have
y
2
−
8
y
−
9
=
0
See it now?
We can factor into
(
y
−
9
)
(
y
+
1
)
Now substitute back in
x
2
for
y
.
(
x
2
−
9
)
(
x
2
+
1
)
Since
(
x
2
−
9
)
is a difference of two squares,
(
x
−
3
)
(
x
+
3
)
Now we have
(
x
−
3
)
(
x
+
3
)
(
x
2
+
1
)
x can be 3, -3 for the first two parts
x
2
+
1
=
0
can become
x
2
=
−
1
Taking the positive and negative root means
x
=
±
√
−
1
Thus
x
=
±
i
in addition to 3 and -3.
To trisect an angle, you would use 2 rays.
Answer:

Step-by-step explanation:
Step 1:-
using logarithmic formula 
so given 
now simplify
= 
<u>Answer:</u>-
![log(x^{3}y^{2})= [tex]3 log x+2 log y](https://tex.z-dn.net/?f=log%28x%5E%7B3%7Dy%5E%7B2%7D%29%3D%20%5Btex%5D3%20log%20x%2B2%20log%20y)
Answer:
a) The error is that, the initial value is n=1 NOT n=3
b) The sum is 
c)The explicit formula is 
The recursive formula is
,
Step-by-step explanation:
The given arithmetic series is 8 + 13 + ... + 43.
The first term is
, the common difference is 
The nth term is given by:

We substitute the values to get:

To find how many terms are in the sequence we solve the equation:

The summation notation is 
The error the student made is in the initial value.
It should be n=1 NOT n=3
b) The sum of the arithmetic series is calculated using:

We substitute o get:



c) The explicit formula we already calculated in a), which is 
The recursive formula is given as:

We substitute d=5 to get:

Answer:
2 gallons
Step-by-step explanation:
There are 4 (US) quarts in 1 (US) gallon.
Therefore, 2 gallons would equal 8 quarts.
4 + 4 = 8