find all the fourth roots of 81 and express them in rectangular coordinates Solution To solve: x^4 = 81 This becomes x^4 -81 = 0, which we can factor as (x^2- 9)(x^2+9) -=0 x^2 - 9 factors to (x-3)(x+3), and x^2+9 factors into(x-3i)(x+3i) So the solutions for x are 3,-3,3i,-3i. As rectangular coordinates, these can be represented as(3,0),(-3,0),(0,3i),(0,- 3i).

1. find all the fourth roots of 81 and express them in rectangular coordinates
Solution
To solve: x^4 = 81 This becomes x^4 -81 = 0, which we can factor as (x^2-
9)(x^2+9) -=0 x^2 - 9 factors to (x-3)(x+3), and x^2+9 factors into(x-3i)(x+3i) So the solutions
for x are 3,-3,3i,-3i. As rectangular coordinates, these can be represented as(3,0),(-3,0),(0,3i),(0,-
3i)