Consider the equation x^? = 1 where? is a positive whole number.

a. For which value of? does x^? = 1 have only one solution?

b. For which value of? does x^? = 1 have only ±1 as solutions?

c. For which value of? does x^? = 1 have only ±1 and ±ii as solutions?

d. For which values of? does x^? = 1 have ±1 as solutions?

Question

Mathematics

Kailee

31 December, 23:42

Consider the equation x^? = 1 where? is a positive whole number.

a. For which value of? does x^? = 1 have only one solution?

b. For which value of? does x^? = 1 have only ±1 as solutions?

c. For which value of? does x^? = 1 have only ±1 and ±ii as solutions?

d. For which values of? does x^? = 1 have ±1 as solutions?

+5

Answers (1)

Know the Answer?

Karlie Brooks · Answer 1

Step-by-step explanation:

whole numbers are 0,1,2, ...

positive whole numbers 1,2,3 ...

a.?=1

b.?=2

c.?=4

d. (x-1) ² (x+1) = 0

(x²-1) (x-1) = 0

x³-x²-x+1=0

x³-x²-x+2=1