Question

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

Answer 1

`x=3i*√(2) \\x=-3i*√(2)`

Explanation:

Solve the associated quadratic equation to find its solutions:

`x^2+18=0\\x^2=-18\\x=+/-√(-18) \\x=+/-√(-1) *√(2*9) \\\\x=+/-i *√(2) *√(9)  \\\\x=+/-3i*√(2)`