Question

X to the 2 power = -169 solve for X

Answer 1

`x^2=-169\\\\in\ the\ real\ numbers\ set\ (\mathbb{R})\ no\ solution\to x\in\O\\\\in\ the\ complex\ _numbers\ set\ (\mathbb{C}):\\\\i=√(-1)\\\\therefore:\\\\x^2=-169\\\\x=\pm√(-169)`


`x=\pm√(-1\cdot169)\\\\x=\pm(√(-1)\cdot√(169))\\\\x=\pm(i\cdot√(13^2))\\\\\boxed{x=\pm13i}`