Answer
Makes sense. $±\sqrt {b^2-4ac} = ±17i$ Therefore, there are two solutions: $+17i$ and $-17i$.
Work Step by Step
The discriminant is the part of the quadratic formula under the radical sign: $b^2-4ac$.
The discriminant determines the number of solutions in a given equation. For instance, if:
$b^2-4ac = 0$, then there is one real number solution.
$b^2-4ac =$ $negative$ $number$, then there are two imaginary solutions.
$b^2-4ac =$ $positive$ $number$, then there are two real number solutions.
Thus, obtaining a value of $-17$ only means that there are two imaginary solutions, $+17i$ and $-17i$.
