Answer:
[tex]x=+-2i\sqrt{6}[/tex]
Step-by-step explanation:
[tex]x^2+24=0[/tex]
To solve for x we need to get x alone
Subtract 24 from both sides
[tex]x^2+24=0[/tex]
[tex]x^2=-24[/tex]
Now take square root on both sides to remove the square
[tex]x^2=-24[/tex]
[tex]\sqrt{x^2} =\sqrt{-24}[/tex]
[tex]x=+-2\sqrt{-6}[/tex]
square root of -1 is 'i'
[tex]x=+-2i\sqrt{6}[/tex]
