SOLUTION: w^2+50w–6600=0

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Question 374490: w^2+50w–6600=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
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w%5E2%2B50w-6600=0 Start with the given equation.


Notice that the quadratic w%5E2%2B50w-6600 is in the form of Aw%5E2%2BBw%2BC where A=1, B=50, and C=-6600


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


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


w+=+%28-%2850%29+%2B-+sqrt%28+%2850%29%5E2-4%281%29%28-6600%29+%29%29%2F%282%281%29%29 Plug in A=1, B=50, and C=-6600


w+=+%28-50+%2B-+sqrt%28+2500-4%281%29%28-6600%29+%29%29%2F%282%281%29%29 Square 50 to get 2500.


w+=+%28-50+%2B-+sqrt%28+2500--26400+%29%29%2F%282%281%29%29 Multiply 4%281%29%28-6600%29 to get -26400


w+=+%28-50+%2B-+sqrt%28+2500%2B26400+%29%29%2F%282%281%29%29 Rewrite sqrt%282500--26400%29 as sqrt%282500%2B26400%29


w+=+%28-50+%2B-+sqrt%28+28900+%29%29%2F%282%281%29%29 Add 2500 to 26400 to get 28900


w+=+%28-50+%2B-+sqrt%28+28900+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


w+=+%28-50+%2B-+170%29%2F%282%29 Take the square root of 28900 to get 170.


w+=+%28-50+%2B+170%29%2F%282%29 or w+=+%28-50+-+170%29%2F%282%29 Break up the expression.


w+=+%28120%29%2F%282%29 or w+=++%28-220%29%2F%282%29 Combine like terms.


w+=+60 or w+=+-110 Simplify.


So the solutions are w+=+60 or w+=+-110

If you need more help, email me at jim_thompson5910@hotmail.com

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Jim