# Question #dd75d

Apr 10, 2017

$36$ $\to$ two zeros.

#### Explanation:

The discriminant is simply ${b}^{2} - 4 a c$, that indicates how many zeros are in the equation.

With ${x}^{2} + 2 x - 8 = 0$, we can just sub in the values to find the number of zeros.

${b}^{2} - 4 a c$

$= {\left(2\right)}^{2} - 4 \left(1\right) \left(- 8\right)$

$= 4 + 32$

$= 36$

With a value of $> 0$ as the discriminant, this means that there are two zeros.

We can check our work by graphing the parabola.

graph{x^2 + 2x - 8 [-20.28, 20.26, -10.14, 10.14]}

As you can see, we are right!

Hope this helps :)