Use the graph to find the solutions of the given equation
-X power 2 +36 = 0
graph is parabola downward open
To find the solutions of the equation -X^2 + 36 = 0 using the given graph, you need to locate the x-intercepts or the points where the graph intersects the x-axis.
Since the graph is a parabola with a downward opening shape, it means the vertex will be at the topmost point, and the x-intercepts will be on the sides.
Looking at the graph, you will see that the parabola intersects the x-axis at two points symmetrically on the left and right sides of the vertex.
To find the x-intercepts mathematically, you can set the equation -X^2 + 36 = 0 equal to zero and solve for X.
-X^2 + 36 = 0
Rearrange the equation:
X^2 = 36
Take the square root of both sides:
X = ± √36
Simplify:
X = ± 6
Therefore, the solutions to the given equation -X^2 + 36 = 0 are X = 6 and X = -6.