SOLUTION: 16d^2+36d+18=0

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Question 605414: 16d^2+36d+18=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
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16d%5E2%2B36d%2B18=0 Start with the given equation.


Notice that the quadratic 16d%5E2%2B36d%2B18 is in the form of Ad%5E2%2BBd%2BC where A=16, B=36, and C=18


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


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


d+=+%28-%2836%29+%2B-+sqrt%28+%2836%29%5E2-4%2816%29%2818%29+%29%29%2F%282%2816%29%29 Plug in A=16, B=36, and C=18


d+=+%28-36+%2B-+sqrt%28+1296-4%2816%29%2818%29+%29%29%2F%282%2816%29%29 Square 36 to get 1296.


d+=+%28-36+%2B-+sqrt%28+1296-1152+%29%29%2F%282%2816%29%29 Multiply 4%2816%29%2818%29 to get 1152


d+=+%28-36+%2B-+sqrt%28+144+%29%29%2F%282%2816%29%29 Subtract 1152 from 1296 to get 144


d+=+%28-36+%2B-+sqrt%28+144+%29%29%2F%2832%29 Multiply 2 and 16 to get 32.


d+=+%28-36+%2B-+12%29%2F%2832%29 Take the square root of 144 to get 12.


d+=+%28-36+%2B+12%29%2F%2832%29 or d+=+%28-36+-+12%29%2F%2832%29 Break up the expression.


d+=+%28-24%29%2F%2832%29 or d+=++%28-48%29%2F%2832%29 Combine like terms.


d+=+-3%2F4 or d+=+-3%2F2 Simplify.


So the solutions are d+=+-3%2F4 or d+=+-3%2F2
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