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| Question 153536:  Please help me solve the following problem:
 Solve: x^2 + 3x - 4 = 0
 Found 2 solutions by  stanbon, josmiceli:
 Answer by stanbon(75887)
      (Show Source): Answer by josmiceli(19441)
      (Show Source): 
You can put this solution on YOUR website!  Solving this means finding the roots, or finding
 the values of
  that make  true.
 If I just say, off the top of my head,
  for a solution, then I'm saying
  and 
  
  
  That's not true, so
  is not a solution One way to solve this is by completing the square.
 First add
  to both sides 
  Now take one-half of the coefficient of the
  term, square it, and add it to both sides, like this:
 
  
  
  This is the same as
 
  Now take the square root of both sides
 
  and also
 
  (since  has a + and a - square root) Subtract
  from both sides 
  
  And also
 
  
  So, the solutions are
  and  Plug these values into the equation to see if they
 are roots, for instance:
 
  
  
  
  So,
  is a solution
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