Question

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

$2x^2-5x-3=0$

Short answer

The solutions to the equation $2x^2-5x-3=0$are $x=-0.5,3$

Step-by-step solution

Step 1. Given Information.

The solutions to the given equation are to be determined using the related graph: $2x^2-5x-3=0$

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 -0.5 and 3.

Hence the solutions to the equation $2x^2-5x-3=0$are $x=-0.5,3$.

Step 3. Conclusion.

Therefore, the solutions to the equation $2x^2-5x-3=0$are localid="1648705512786" $x=-0.5,3$.