SOLUTION: A firecracker is fired straight up into the air out of a window of a building. Its height, in meters, is given by h = -5 t^2 + 15 t + 100, where t is the time, in seconds, the firc

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Question 864482: A firecracker is fired straight up into the air out of a window of a building. Its height, in meters, is given by h = -5 t^2 + 15 t + 100, where t is the time, in seconds, the fircracker has been in the air.
By setting up and solving an equation, find the time(s) when it reaches a height of 10 meters

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
h+=+-5+t%5E2+%2B+15t+%2B+100
Set h = 10
10+=+-5+t%5E2+%2B+15t+%2B+100
add -10 to each side
0+=+-5+t%5E2+%2B+15t+%2B+90
multiply by -1
5+t%5E2+-+15t+-+90+=+0
divide by 5
t%5E2+-+3t+-+18+=+0
factor
%28t-6%29%2A%28t%2B3%29=+0
Possible values for t are 6 and -3
So the firecracker has been in the air 6 seconds.