Question

Solve for x in the equation 2x^2+14x+17=-96

Answer 1

$2x^{2}+14x+17=-96 \newline 2x^{2}+14x+113=0 \newline \Delta = b^{2}-4ac = 14^{2} - 4 \cdot 2 \cdot 113 = -708.$

Since $\Delta$ is negative $\Rightarrow x \notin \mathbb{R}.$