SOLUTION: m^2-m=6 =m^2-m-6=0 I need details on the solution please

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Question 537294: m^2-m=6 =m^2-m-6=0 I need details on the solution please
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

m%5E2-m-6=0 Start with the given equation.


Notice that the quadratic m%5E2-m-6 is in the form of Am%5E2%2BBm%2BC where A=1, B=-1, and C=-6


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-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%281%29%28-6%29+%29%29%2F%282%281%29%29 Plug in A=1, B=-1, and C=-6


m+=+%281+%2B-+sqrt%28+%28-1%29%5E2-4%281%29%28-6%29+%29%29%2F%282%281%29%29 Negate -1 to get 1.


m+=+%281+%2B-+sqrt%28+1-4%281%29%28-6%29+%29%29%2F%282%281%29%29 Square -1 to get 1.


m+=+%281+%2B-+sqrt%28+1--24+%29%29%2F%282%281%29%29 Multiply 4%281%29%28-6%29 to get -24


m+=+%281+%2B-+sqrt%28+1%2B24+%29%29%2F%282%281%29%29 Rewrite sqrt%281--24%29 as sqrt%281%2B24%29


m+=+%281+%2B-+sqrt%28+25+%29%29%2F%282%281%29%29 Add 1 to 24 to get 25


m+=+%281+%2B-+sqrt%28+25+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


m+=+%281+%2B-+5%29%2F%282%29 Take the square root of 25 to get 5.


m+=+%281+%2B+5%29%2F%282%29 or m+=+%281+-+5%29%2F%282%29 Break up the expression.


m+=+%286%29%2F%282%29 or m+=++%28-4%29%2F%282%29 Combine like terms.


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


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


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