Question

I need help on this question:
The real root of the equation x3 – x + 4 = 0 is –1.796 to three decimal places. Determine the real root for each of the following.
(a) (x – 1)3 – (x – 1) + 4 = 0
(b) 8x3 – 2x + 4 = 0

Answer 1

the three on the side is meant to be cubed

Answer 2

Hint for part a :

` f(x-k) ` shifts the graph of ` f(x) ` to right by `k` units.

Answer 3

Hint for part b :

` f(k*x) ` shrinks the graph of ` f(x) ` horizontally by a factor of `k` when k > 1.

Answer 4

Further hint:
If f(x)=x^3-x+4
8x^3-2x+4=(2x)^3-(2x)+4=f(2x)

Answer 5

thank you