SOLUTION: What is 2m^2+9m+7=3

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Question 600343: What is 2m^2+9m+7=3
Found 2 solutions by jim_thompson5910, w_parminder:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Subtract 3 from both sides.


Combine like terms.


Notice we have a quadratic equation in the form of where , , and


Let's use the quadratic formula to solve for m


Start with the quadratic formula


Plug in , , and


Square to get .


Multiply to get


Subtract from to get


Multiply and to get .


Take the square root of to get .


or Break up the expression.


or Combine like terms.


or Simplify.


So the answers are or


Answer by w_parminder(53)   (Show Source): You can put this solution on YOUR website!

or
or
Now this quadratic equation can be solved using the formula

But I solve it by splitting its middle term
So can be written as

OR
OR
OR
Now either (m + 4) = 0 OR (2m + 1) = 0
solving these equations we get,
m = -4 & m = -1/2

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