Marina solved the quadratic equation 9x^2 - 36x - 720 = 0 by completing the square. In the process, she came up with the equivalent equation

(x + r)^2 = s

where r and s are constants. What is s?

Guest Jun 17, 2022

#1**0 **

Divide by 9: \(x^2 - 4x - 80 = 0 \)

Complete the square on the left: \((x-2)^2 - 84 = 0 \)

Add 84 to both sides: \((x-2)^2 = 84\)

So, \(s = \color{brown}\boxed{84}\)

BuilderBoi Jun 17, 2022