Q16. - Algebra 2

Question

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

 

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

Step-by-Step Solution

Answer

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

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 $x=-2,1.5$.