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 solu…

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asked Dec 9, 2021 158k views

1 Answer

Maxim Dounin · Answer 1 · 2021-12-14T15:06:03+0000

Answer:

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.