Question

Factor the expression over the complex numbers.

x^2+52

Answer 1

Answer: (x -
`2i√(13)`)(x +
`2i√(13)`)

Explanation:

x² + 52 = 0

x² = -52

`\sqrt{x^(2) } = √(-52)`

x = +/-
`√(52)`

x = +/-
`i√(2*2*13)`

x = +/-
`2i√(13)`

(x -
`2i√(13)`)(x +
`2i√(13)`) = 0