Suppose a classmate missed the lessons on completing the square to find the center and radius of a circle. Explain the process to that classmate. If it helps, use a problem you’ve already done, as an example.
Problem 2
Match each expression with the value needed in the box in order for the expression to be a perfect square trinomial.
\(x^2-8x+\boxed{\phantom{3}}\)
\(x^2+20x+\boxed{\phantom{3}}\)
\(x^2-16x+\boxed{\phantom{3}}\)
\(x^2+9x+\boxed{\phantom{3}}\)
16
20.25
64
100
Problem 3
Find the center and radius of the circle represented by the equation \(x^2+y^2+4x-10y+20=0\).
Lin says the equation \(x^2-6x+8=24\) can be solved using the zero product property. Andre says he would complete the square to solve it. Do you agree with either of them? Explain your reasoning.
Use a method of your choice to solve the equation \(x^2-6x+8=24\).