SOLUTION: solve by completing the square 2m^2-m-15=0?
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Question 133088: solve by completing the square 2m^2-m-15=0?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation
Add to both sides
Factor out the leading coefficient
Take half of the x coefficient to get (ie ).
Now square to get (ie )
Now add and subtract this value inside the parenthesis. Doing both the addition and subtraction of does not change the equation
Now factor to get
Distribute
Multiply
Now add to both sides to isolate y
Combine like terms
Now to solve for x, let
Add to both sides
Divide both sides by
Reduce
Take the square root of both sides
Take the square root of 121 to get 11. Take the square root of 16 to get 4.
Add to both sides
Break up the expression
or 
Combine the fractions
or 
Combine like terms
or 
Reduce
or 
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Answer:
So our solution is
or
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