Question

what are the solutions of the equations x^2+14x=-130? (1point) a.2,-16 b.10,-13 c.-2,16 d.no solution

Answer 1

$x^2+14x=-130\\ x^2+14x+49=-81\\ (x+7)^2=-81$

no solutions in $\mathbb{R}$

in $\mathbb{C}$
$x+7=-\sqrt{-81} \vee x+7=\sqrt{-81}\\ x=-7-\sqrt{-81} \vee x=-7+\sqrt{-81}\\ x=-7-9i \vee x=-7+9i$