Question

Use the related graph of each equation to determine its solutions. $x^2-6x+9=0$

Short answer

The solution to the equation $x^2-6x+9=0$is x=3.

Step-by-step solution

Step 1. Given Information.

The solutions to the given equation are to be determined using the related graph: $x^2-6x+9=0$

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 touches the x axis at 3.

Hence the solution to the equation $x^2-6x+9=0$ is $x=3$.

Step 3. Conclusion.

Therefore, the solution to the equation $x^2-6x+9=0$ is x=3.