Question

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

$2x^2+2x-4=0$

Short answer

The solutions to the equation $2x^2+2x-4=0$ are x=-2,1

Step-by-step solution

Step 1. Given Information.

The solutions to the given equation are to be determined using the related graph: $2x^2+2x-4=0$

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 1 and -2.

Hence the solutions to the equation $2x^2+2x-4=0$are x=-2,1.

Step 3. Conclusion.

Therefore, the solutions to the equation $2x^2+2x-4=0$ are x=-2,1.