Question

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?

Answer 1

Answer:

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