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3 years ago

Solve for v. (v-1)^2 = 2v^2 -5v -17 If can be more than one solution or no solution

1 answer:

3 0

(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.

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