Question

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

$-2x^2-x+6=0$

Short answer

The solutions to the equation $-2x^2-x+6=0$ are $x=-2,1.5$.

Step-by-step solution

Step 1. Given Information.

The solutions to the given equation are to be determined using the related graph: $-2x^2-x+6=0$

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 crosses the x axis at -2 and 1.5.

Hence the solutions to the equation $-2x^2-x+6=0$ are $x=-2,1.5$.

Step 3. Conclusion.

Therefore, the solutions to the equation $-2x^2-x+6=0$ are $x=-2,1.5$.