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Solve for v.

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

If can be more than one solution or no solution



Sagot :

             (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.