SOLUTION: Will you please help me solve this problem? -16tē+22t+3 I am not sure how to find t

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Will you please help me solve this problem? -16tē+22t+3 I am not sure how to find t       Log On


   

Question 668808: Will you please help me solve this problem? -16tē+22t+3 I am not sure how to find t
Found 2 solutions by jim_thompson5910, lynnlo:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you have the equation -16t%5E2%2B22t%2B3+=+0

Use the quadratic formula to solve for t

t+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

t+=+%28-%2822%29%2B-sqrt%28%2822%29%5E2-4%28-16%29%283%29%29%29%2F%282%28-16%29%29 Plug in a+=+-16, b+=+22, c+=+3

t+=+%28-22%2B-sqrt%28484-%28-192%29%29%29%2F%28-32%29

t+=+%28-22%2B-sqrt%28484%2B192%29%29%2F%28-32%29

t+=+%28-22%2B-sqrt%28676%29%29%2F-32

t+=+%28-22%2Bsqrt%28676%29%29%2F-32 or t+=+%28-22-sqrt%28676%29%29%2F-32

t+=+%28-22%2B26%29%2F-32 or t+=+%28-22-26%29%2F-32

t+=+4%2F-32 or t+=+-48%2F-32

t+=+-1%2F8 or t+=+3%2F2

So the two solutions are t+=+-1%2F8 or t+=+3%2F2

Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
T=-1/8,T=3/2