Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Answer 1

$Use\\\\a^2-b^2=(a-b)(a+b)\\\\i=\sqrt{-1}\to i^2=-1\\\\x^2+50=x^2-(-1)(50)=x^2-50i^2=x^2-2\cdot25i^2\\\\=x^2-2\cdot5^2i^2=x^2-2(5i)^2\\\\=x^2-(\sqrt2)^2(5i)^2=x^2-(5i\sqrt2)^2\\\\=(x-5i\sqrt2)(x+5i\sqrt2)=(x-5\sqrt2i)(x+5\sqrt2i)$

Answer 2

$x^2+50=\\\\x^2-(-50)=\\\\ (x-\sqrt{-50})(x+\sqrt{-50})=\\\\ (x-5i\sqrt2)(x+5i\sqrt2)$