# SOLUTION: solve equation by completing the square n^2+16n-97=-3

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 Click here to see ALL problems on Quadratic Equations Question 201572: solve equation by completing the square n^2+16n-97=-3Answer by jim_thompson5910(28717)   (Show Source): You can put this solution on YOUR website! Start with the given equation. Add 3 to both sides. Combine like terms. -------------------------------------------------------- Now let's complete the square for the expression Start with the given expression. Take half of the coefficient to get . In other words, . Now square to get . In other words, Now add and subtract . Make sure to place this after the "n" term. Notice how . So the expression is not changed. Group the first three terms. Factor to get . Combine like terms. So after completing the square, transforms to . So . So is equivalent to . ------------------------------------------------------------------------------- Now let's solve Start with the given equation. Add to both sides. Combine like terms. Take the square root of both sides. or Break up the "plus/minus" to form two equations. or Subtract from both sides. ============================================================ Answer: So the solutions are or .