Question

I recently took a test in my Algebra 1 class. This was on the test (that I most likely failed)and it said something about vertical motion. The problem is below. Try to solve it, please! Thanks!

2=-t^2+4+5

Answer 1

OK. 2 = -t² + 4t + 5

Subtract 2 from each side: 0 = -t² + 4t + 3

Multiply the right side by -1 : 0 = t² - 4t - 3

Unfortunately, this can't be factored. The only other way I know
to find the solutions to a quadratic equation is with the use of the
quadratic formula. When you do that, you get these solutions:

t = 2 + √7 = about 4.65
and
t = 2 - √7 = about -0.65 .

If this equation comes from a problem that involves real people throwing
real things into the air and making vertical motion, then you want only the
positive solution.