Q18.

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

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

Verified

Answer

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

1Step 1. Given Information.

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

2Step 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 $2 x^{2} - 5 x - 3 = 0$ are $x = - 0.5, 3$ .

3Step 3. Conclusion .

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