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)
(
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):
You can
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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
----------------------------------------
Answer:
So our solution is
or