Question

Factor the expression over the complex numbers. x^2+52

Answer 1

Answer: (x - $2i\sqrt{13}$)(x + $2i\sqrt{13}$)

Step-by-step explanation:

x² + 52 = 0

x² = -52

$\sqrt{x^{2} } = \sqrt{-52}$

x = +/-  $\sqrt{52}$

x = +/-  $i\sqrt{2*2*13}$

x = +/-  $2i\sqrt{13}$

(x - $2i\sqrt{13}$)(x + $2i\sqrt{13}$) = 0