SOLUTION: What is the solution to 3n^2+48=0

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Question 300631: What is the solution to 3n^2+48=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3n%5E2%2B48=0 Start with the given equation.


Notice that the quadratic 3n%5E2%2B48 is in the form of An%5E2%2BBn%2BC where A=3, B=0, and C=48


Note: 3n%5E2%2B48=0 can be written as 3n%5E2%2B0n%2B48=0


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


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


n+=+%280+%2B-+sqrt%28+%280%29%5E2-4%283%29%2848%29+%29%29%2F%282%283%29%29 Plug in A=3, B=0, and C=48


n+=+%280+%2B-+sqrt%28+0-4%283%29%2848%29+%29%29%2F%282%283%29%29 Square 0 to get 0.


n+=+%280+%2B-+sqrt%28+0-576+%29%29%2F%282%283%29%29 Multiply 4%283%29%2848%29 to get 576


n+=+%280+%2B-+sqrt%28+-576+%29%29%2F%282%283%29%29 Subtract 576 from 0 to get -576


n+=+%280+%2B-+sqrt%28+-576+%29%29%2F%286%29 Multiply 2 and 3 to get 6.


n+=+%280+%2B-+24%2Ai%29%2F%286%29 Take the square root of -576 to get 24%2Ai.


n+=+%280+%2B+24%2Ai%29%2F%286%29 or n+=+%28-0+-+24%2Ai%29%2F%286%29 Break up the expression.


n+=+%280%29%2F%286%29+%2B+%2824%2Ai%29%2F%286%29 or n+=++%28-0%29%2F%286%29+-+%2824%2Ai%29%2F%286%29 Break up the fraction for each case.


n+=+0%2B4%2Ai or n+=++0-4%2Ai Reduce.


n+=+4%2Ai or n+=+-4%2Ai Simplify.


So the solutions are n+=+4%2Ai or n+=+-4%2Ai