Answer:
Step-by-step explanation:
The coefficient of x^2 is "a". That is 1.
The coefficient of x is "b". That is 1.
The constant term is "c". That is -4.
The values of a, b, and c are 1, 1, and -4, respectively.
_____
The solution is ...
x = (-b ±√(b^2-4ac))/(2a)
Filling in the values of a, b, and c, this is ...
x = (-1 ±√(1^2 -4·1·(-4)))/(2·1)
x = (-1 ±√17)/2
Answer:
c = - 32
Step-by-step explanation:
The common ratio r of the sequence is
r = =
= - 2
To find the next term in the sequence multiply the previous term by r
a = 4 × - 2 = - 8
b = - 8 × - 2 = 16
c = 16 × - 2 = - 32
Let . Using Newton's method to approximate a solution to
, we consider the recurrence
Differentiating gives
Then
which agrees numerically with the actual root of up to at least 9 digits after the decimal point.