Question

PLZ HELP! I’m rly stuck on this question.

Answer 1

C

Explanation:

Rearrange the quadratic into standard form by subtracting d from both sides

- 16t² + 8t - d = 0 ← in standard form

with a = - 16, b = 8, c = - d

Using the quadratic formula to solve for t

t = (- 8 ±
`√(8^2-(4(-16)(-d)))` )/ - 32

= ( - 8 ±
`√(64-64d)` )/ - 32

= ( - 8 ±
`√(64(1-d))`) / - 32

= ( - 8 ± 8
`√(1-d)`) / - 32

=
`(-8)/(-32)` ±
`(8)/(32)`
`√(1-d)`

=
`(1)/(4)` ±
`(1)/(4)`
`√(1-d)`

=
`(1)/(4)` ±
`(√(1-d) )/(4)`