For each odd positive integer n, the only real number solution to x^n=1 is n = 1 while for even positive integers n, x=1 and x = − 1 are solutions to x^n=1. In this problem, we look for all complex number solutions to x^n=1 for some small values of n.

1. Find all complex numbers a + bi whose cube is 1.
2. Find all complex numbers a + bi whose fourth power is 1.

a) what number, when added to negative four, is equal to negative five?

step-by-step explanation:

answer: the four apples you took away.

step-by-step explanation:

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

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step-by-step explanation: