What is the length of the segment of the number line whose endpoints satisfy x^2 - 16x + 3 = 0?
You can use the quadratic formula:
\(x = {16 \pm \sqrt{256 - 12}\over2}\)
\(x = {16\pm2\sqrt{61}\over2}\)
\(x = 8\pm\sqrt{61}\)
Number line has length \(2\sqrt{61}\)
