Answer: (x - [tex]2i\sqrt{13}[/tex])(x + [tex]2i\sqrt{13}[/tex])
Step-by-step explanation:
x² + 52 = 0
x² = -52
[tex]\sqrt{x^{2} } = \sqrt{-52}[/tex]
x = +/- [tex]\sqrt{52}[/tex]
x = +/- [tex]i\sqrt{2*2*13}[/tex]
x = +/- [tex]2i\sqrt{13}[/tex]
(x - [tex]2i\sqrt{13}[/tex])(x + [tex]2i\sqrt{13}[/tex]) = 0
