Question

Use the related graph of each equation to determine its solutions.

$-0.5x^2=0$

Short answer

The solution to the equation $-0.5x^2=0$ is x=0.

Step-by-step solution

Step 1. Given Information.

The solutions to the given equation are to be determined using the related graph: $-0.5x^2=0$

Step 2. Explanation.

A quadratic equation has a real solution where the graph of the related function crosses or touches the x-axis.

From the given graph, the function touches the x axis at 0.

Hence the solution to the equation $-0.5x^2=0$is x=0.

Step 3. Conclusion.

Therefore, the solution to the equation $-0.5x^2=0$ is x=0.