Solve the equation by graphing. -x²+2x-1=0 First, graph the associated parabola by plotting the vertex and four additional points, two on each side of the vertex. Then, use the graph to give the solution(s) to the equation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Solve the equation by graphing:**

\[
-x^2 + 2x - 1 = 0
\]

**Instructions:**

1. **Graph the Associated Parabola:**
   - Plot the vertex and four additional points, two on each side of the vertex.

2. **Find the Solution:**
   - Use the graph to determine the solution(s) to the equation.
   - If there is more than one solution, separate them with commas.

**Graph Description:**

- A coordinate plane with grid lines is provided.
- There is a blank space for graphing the parabola based on the equation given.
- Additional tools are available, including options for creating points and curves on the graph.

**Solution Input:**

- An empty box is provided to enter the solution(s) for \(x\).
Transcribed Image Text:**Solve the equation by graphing:** \[ -x^2 + 2x - 1 = 0 \] **Instructions:** 1. **Graph the Associated Parabola:** - Plot the vertex and four additional points, two on each side of the vertex. 2. **Find the Solution:** - Use the graph to determine the solution(s) to the equation. - If there is more than one solution, separate them with commas. **Graph Description:** - A coordinate plane with grid lines is provided. - There is a blank space for graphing the parabola based on the equation given. - Additional tools are available, including options for creating points and curves on the graph. **Solution Input:** - An empty box is provided to enter the solution(s) for \(x\).
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