Question

use the graph to find the solutions of $-\frac{1}{2}x^2 - x + 4 = 0$.
graph of a parabola intersecting the x-axis at (-4, 0) and (2, 0), and the y-axis at (0, 4)
$x = \boxed{}$ and $x = \boxed{}$

Explanation:

Step1: Identify x-intercepts

The solutions of $-\frac{1}{2}x^2 - x + 4 = 0$ are the x-values where the graph crosses the x-axis ($y=0$).

Step2: Read intercepts from graph

From the graph, the parabola crosses the x-axis at $x=-4$ and $x=2$.

Answer:

$x = -4$ and $x = 2$