(v - 1)² = 2v² - 5v - 17
(v - 2)(v - 2) = 2v² - 5v - 17
v² - 2v - 2v + 4 = 2v² - 5v - 17
v² - 4v + 4 = 2v² - 5v - 17
- v² - v²
-4v + 4 = v² - 5v - 17
+ 5v + 5v
v + 4 = v² - 17
+ 17 + 17
v + 21 = v²
0 = v² + v + 21
v² + v + 21 = 0
v = -(1) +/- √((1)² - 4(1)(21))
2(1)
v = -1 +/- √(1 - 84)
2
v = -1 +/- √(-83)
2
v = -1 +/- 9.11i
2
v = -1 + 4.555i
v = -1 + 4.555i v = -1 - 4.555i
There is more than one solution.