SOLUTION: Please solve s^2-5s-50=0 Thank you!

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Question 345265: Please solve
s^2-5s-50=0
Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

s%5E2-5s-50=0 Start with the given equation.


Notice that the quadratic s%5E2-5s-50 is in the form of As%5E2%2BBs%2BC where A=1, B=-5, and C=-50


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


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


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


s+=+%285+%2B-+sqrt%28+%28-5%29%5E2-4%281%29%28-50%29+%29%29%2F%282%281%29%29 Negate -5 to get 5.


s+=+%285+%2B-+sqrt%28+25-4%281%29%28-50%29+%29%29%2F%282%281%29%29 Square -5 to get 25.


s+=+%285+%2B-+sqrt%28+25--200+%29%29%2F%282%281%29%29 Multiply 4%281%29%28-50%29 to get -200


s+=+%285+%2B-+sqrt%28+25%2B200+%29%29%2F%282%281%29%29 Rewrite sqrt%2825--200%29 as sqrt%2825%2B200%29


s+=+%285+%2B-+sqrt%28+225+%29%29%2F%282%281%29%29 Add 25 to 200 to get 225


s+=+%285+%2B-+sqrt%28+225+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


s+=+%285+%2B-+15%29%2F%282%29 Take the square root of 225 to get 15.


s+=+%285+%2B+15%29%2F%282%29 or s+=+%285+-+15%29%2F%282%29 Break up the expression.


s+=+%2820%29%2F%282%29 or s+=++%28-10%29%2F%282%29 Combine like terms.


s+=+10 or s+=+-5 Simplify.


So the solutions are s+=+10 or s+=+-5

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Jim