Use a graphical method to solve the quadratic equation: 10x² – 9x-3=6 Sketch the graph you used, write down the window, label each graph with its equation, and write a clear answer to the problem.
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![**Problem 3: Graphical Solution of a Quadratic Equation**
Use a graphical method to solve the quadratic equation: \(10x^2 - 9x - 3 = 6\).
**Instructions:**
1. Sketch the graph you used.
2. Write down the window settings.
3. Label each graph with its equation.
4. Provide a clear answer to the problem.
**Explanation:**
To solve the quadratic equation \(10x^2 - 9x - 3 = 6\) using a graph, start by rearranging it:
\[10x^2 - 9x - 9 = 0\]
Next, graph the function \(y = 10x^2 - 9x - 9\).
**Graph Setup:**
- Adjust the graph window to clearly display the roots of the equation.
- Label the x-axis with appropriate values to find where the graph intersects the x-axis (roots).
- Label the y-axis according to the graph's range.
**Solution:**
- Find the points where the graph crosses the x-axis.
- These intersection points are the solutions to the equation \(10x^2 - 9x - 9 = 0\).
Graph visualization and clear labeling are essential to understanding the solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba8e985f-7622-401b-bed1-843294526707%2F281fd91b-5538-4941-afaf-17532623526f%2Fjfo4ian_processed.jpeg&w=3840&q=75)
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