Question

Factor the expression over the complex numbers x^2 + 18

Answer 1

Answer:

$x=3i*\sqrt{2} \\x=-3i*\sqrt{2}$

Step-by-step explanation:

Solve the associated quadratic equation to find its solutions:

$x^2+18=0\\x^2=-18\\x=+/-\sqrt{-18} \\x=+/-\sqrt{-1} *\sqrt{2*9} \\\\x=+/-i *\sqrt{2} *\sqrt{9} \\\\x=+/-3i*\sqrt{2}$