Question

X^2 +8 =0 please show all work

Answer 1

`x^2+8=0\\ x^2=-8\\ x=-√(-8) \vee x=√(-8)\\ x=-√(8\cdot(-1)) \vee x=√(8\cdot(-1))\\ x=-√(8)\cdot√(-1) \vee x=√(8)\cdot√(-1)\\ x=-√(4)\cdot \sqrt2\cdot i \vee x=√(4)\cdot \sqrt 2\cdot i\\ x=-2√(2)i \vee x=2√(2)i`