Suppose we choose

and

. Then

Now suppose we choose

such that

where we pick the solution for this system such that

. Then we find

Note that you can always find a solution to the system above that satisfies

as long as

. What this means is that you can always find the value of

as a (constant) function of

.
You add 1 to the numerator each time
Answer:

Step-by-step explanation:
x² = 19x + 12
⇔ x² - 19x - 12 = 0
Calculating the discriminant :
b² - 4ac = (-19)² - 4×1×(-12) = 409
The discriminant is positive ,then the equation has two solutions.

5x+9z-x
5x-x+9z
4x+9z
Equivalent expression is asking for you to simplify by adding like terms and eliminatino parenthesis. Use the PEMDAS.
Answer:
3 to the fourth power, which equals 81.
Step-by-step explanation: