6. Determine the number of solutions for each of the equations below. Be sure to justify your conclusions. *
(z – 8)2 = -1
A. one solution
B. infinitely many solutions
C. no solution
D. x = 9

Step-by-step explanation:

Determine the number of solutions for each of the equations below. Be sure to

justify your conclusions. *

(z – 8)2 = -1

A. one solution

B. infinitely many solutions

C.no solution

D. x = 9

Given the expression;

(z – 8)^2 = -1

we are to find the nature of the solution;

Take the square root of both sides

(z – 8)^2 = -1

√(z – 8)^2 = √-1

z- 8 = √-1

Note that √-1 will give a complex number i to have;

z = 8 ± i

This therefore shows that the equation has no real solution.