Use square roots to solve the equation x2 = –64 over the complex numbers. Select any solutions that apply. A. 8i
B. –8
C. –8i2
D. –8i

The solutions of an equation are the true values of the equation.

The expression that represents the solution(s) of is

The equation is given as:

Take square roots of both sides

Expand

In complex numbers,

So, we have:

Split

So, the expression that represents the solution(s) of is

Read more about expressions at:

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Options A and D are correct

Step-by-step explanation:

Here, we want to find the square root of the negative number;

x^2 = -64

x^2 = 64 * -1

x= √64 * √-1

Mathematically we can write the √-1 as i

X = √64 * i

Square root of 64 is plus or minus 8

so x = -8i or 8i

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step-by-step explanation: