(2.0)t^2/2 = (9.5)t
t=????
what is the answer to the numbers 23*17=?
(2.0)t^2/2 = (9.5)t
times 2
2t^2 = 19t
2t^2 - 19t = 0
t(2t - 19) = 0
t=0 or t = 19/2 or 9.5
To solve the equation (2.0)t^2/2 = (9.5)t for t, we can follow these steps:
1. Multiply both sides of the equation by 2 to remove the fraction:
2 * (2.0)t^2/2 = 2 * (9.5)t
Simplifying further:
(2.0)t^2 = 19t
2. Rearrange the equation to have all terms on one side:
(2.0)t^2 - 19t = 0
3. Factor out the common term t:
t((2.0)t - 19) = 0
4. Set each factor equal to zero and solve for t:
t = 0 or (2.0)t - 19 = 0
5. For t = 0, the equation is satisfied.
6. For (2.0)t - 19 = 0, isolate t by adding 19 to both sides:
(2.0)t = 19
Divide both sides by 2.0:
t = 19/2.0
7. Simplify the fraction:
t = 9.5
So, the solutions to the equation are t = 0 and t = 9.5.