SOLUTION: solve equation by completing the square p^2-8+12=0 this is not from the text book but from homework assignment.

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Question 150503This question is from textbook
: solve equation by completing the square
p^2-8+12=0
this is not from the text book but from homework assignment.
This question is from textbook

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'm assuming that the equation is



Start with the given expression



Take half of the p coefficient to get (ie ).

Now square to get (ie )




Now add and subtract this value inside the parenthesis. Notice how . Since we're adding 0, we're not changing the equation.



Now factor to get


Combine like terms




So after completing the square, becomes .


In other words,


So is equivalent to



Start with the given equation.


Add to both sides.


Combine like terms on the right side.


Take the square root of both sides.


or Break up the expression


or Take the square root of 4 to get 2


or Add 4 to both sides.


or Combine like terms.



-----------------------------------------------

Answer:


So the solution is or

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