Answer
Fill the blank with
two
Work Step by Step
In the quadratic formula,
$x=\displaystyle \frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$
The radicand, called the discriminant, $b^{2}-4ac$
could be negative, zero, or positive.
This determines whether and how many real solutions there are.
If the discriminant is positive, the square root in the formula produces a positive number.
This in turn results in TWO possible real values for x,
one when $+$ is applied in the numerator,
and one when $-$ is applied in the numerator.
Fill the blank with: two
