20 = 32t - 16t2 Solve for t. Please show how you got to your answer. If the answer is a non-real answer, show what the inaginary number will be.
My second line above should, of course, say "Divide through by 4 and rearrange"
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20 = 32 t-16 t^2, solve for t:
20 = 32 t-16 t^2 is equivalent to 32 t-16 t^2 = 20:
32 t-16 t^2 = 20
Divide both sides by -16:
t^2-2 t = -5/4
Add 1 to both sides:
t^2-2 t+1 = -1/4
Write the left hand side as a square:
(t-1)^2 = -1/4
Take the square root of both sides:
t-1 = i/2 or t-1 = -i/2
Add 1 to both sides:
t = 1+i/2 or t-1 = -i/2
Add 1 to both sides:
Answer: | t = 1+i/2 or t = 1-i/2