Question

What is the solution set for x2+25=0

Answer 1

Explanation:

`{x}^(2) + 25 = 0 \\ \therefore {x}^(2) = - 25 \\ \therefore {x} = √( - 25) \\ \therefore {x} = \pm√( - 1 * 25) \\ \therefore {x} = \pm √( 25) * √( - 1) \\ \therefore {x} = \pm5 \: i \\ \therefore {x} = \{ - 5i, \: \: 5i \} \: \\ is \: the \: solution \: set.`