Solve for v.

(v-1)^2 = 2v^2 -5v -17

If can be more than one solution or no solution

Question

jpstanfel jpstanfel

06-04-2015
Mathematics

Answered

Solve for v.

(v-1)^2 = 2v^2 -5v -17

If can be more than one solution or no solution

Verified Answer :

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Panoyin Panoyin · Answer 1 · 2015-04-06T21:32:10-04:00

(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.

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

Verified Answer :

Related Questions

Solve for v.

(v-1)^2 = 2v^2 -5v -17

If can be more than one solution or no solution