Question

2

Solve y² = -64, where y is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".

Answer 1

y^2 = -64

therfore,

y =
`√(-64)`

but a number under square root can never be negative until and unless it is a non-real number.

Thus, there is no solution to this.

thank you

Explanation:

Answer 2

No real number solution.

Explanation:

y² = -64

Extract square root

`√(y^2) =√(-64) \\y = √(8^2(-1)) \\y = 8i, y = -8i\\`

There is no real number solution. The solution consists of imaginary numbers represented by i.