Q15.

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

Verified

Answer

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

1Step 1. Given Information.

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

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 touches the x axis at 3.

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

3Step 3. Conclusion .

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