SOLUTION: I need to solve x^2+6x-16=0 by completing the square
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Question 600305: I need to solve x^2+6x-16=0 by completing the square
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, let's complete the square.
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 "x" 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 25 to both sides
Take the square root of both sides.
or Break up the "plus/minus" to form two equations.
or Take the square root of to get .
or Subtract from both sides.
or Combine like terms.
--------------------------------------
Answer:
So the solutions are or .
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