SOLUTION: please show me how to solve: -16t2+48t=60 ty

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Question 987769: please show me how to solve:
-16t2+48t=60
ty
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.
-16t%5E2 + 48t = 60.

-16t%5E2 + 48t - 60 = 0.

16t%5E2 - 48t + 60 = 0.

It is a quadratic equation.  Use the quadratic formula to solve it:

x%5B1%2C2%5D = %2848+%2B-+sqrt%2848%5E2+-+4%2A16%2A60%29%29%2F%282%2A16%29 = %2848+%2B-+sqrt%28-1536%29%29%2F%282%2A16%29.

The discriminant is negative,  which means that your equation has no real solution.

The plot of the parabola  y = -16t%5E2 + 48t - 60  in the  Figure  below confirms that there are no real solutions.




                      Figure