Mai is solving the equation \((x-5)^2=0\). She writes that the solutions are \(x=5\) and \(x=\text- 5\). Han looks at her work and disagrees. He says that only \(x=5\) is a solution. Who do you agree with? Explain your reasoning.

If the equation \((x-4)(x+6)=0\) is true, which is also true according to the zero product property?

1. Solve the equation \(25=4z^2\).
2. Show that your solution or solutions are correct.

To solve the quadratic equation \(3(x-4)^2 = 27\), Andre and Clare wrote the following:

1. Identify the mistake each student made.
2. Solve the equation, and show your reasoning.

Decide if each equation has 0, 1, or 2 solutions, and explain how you know.

1. \(x^2 -144=0\)
2. \(x^2 +144=0\)
3. \(x(x-5)=0\)
4. \((x-8)^2=0\)
5. \((x+3)(x+7)=0\)