SOLUTION: I Need Help With This Quadratic equation . 2m^2+2m-12=0

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Question 624550: I Need Help With This Quadratic equation . 2m^2+2m-12=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2m%5E2%2B2m-12=0 Start with the given equation.


Notice that the quadratic 2m%5E2%2B2m-12 is in the form of Am%5E2%2BBm%2BC where A=2, B=2, and C=-12


Let's use the quadratic formula to solve for "m":


m+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


m+=+%28-%282%29+%2B-+sqrt%28+%282%29%5E2-4%282%29%28-12%29+%29%29%2F%282%282%29%29 Plug in A=2, B=2, and C=-12


m+=+%28-2+%2B-+sqrt%28+4-4%282%29%28-12%29+%29%29%2F%282%282%29%29 Square 2 to get 4.


m+=+%28-2+%2B-+sqrt%28+4--96+%29%29%2F%282%282%29%29 Multiply 4%282%29%28-12%29 to get -96


m+=+%28-2+%2B-+sqrt%28+4%2B96+%29%29%2F%282%282%29%29 Rewrite sqrt%284--96%29 as sqrt%284%2B96%29


m+=+%28-2+%2B-+sqrt%28+100+%29%29%2F%282%282%29%29 Add 4 to 96 to get 100


m+=+%28-2+%2B-+sqrt%28+100+%29%29%2F%284%29 Multiply 2 and 2 to get 4.


m+=+%28-2+%2B-+10%29%2F%284%29 Take the square root of 100 to get 10.


m+=+%28-2+%2B+10%29%2F%284%29 or m+=+%28-2+-+10%29%2F%284%29 Break up the expression.


m+=+%288%29%2F%284%29 or m+=++%28-12%29%2F%284%29 Combine like terms.


m+=+2 or m+=+-3 Simplify.


So the solutions are m+=+2 or m+=+-3


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