What are the solutions to the equation 460=-16t^2+85t+405 ?

The solutions to the equation 460=-16t^2+85t+405 are t=(85-sqrt(3705))/(32),t=(85+sqrt(3705))/(32)

Find the zeros of 460=-16t^2+85t+405

The zeros of 460=-16t^2+85t+405 are t=(85-sqrt(3705))/(32),t=(85+sqrt(3705))/(32)

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460 = - 16 t^{2} + 85 t + 405

t = \frac{85 - 3705}{32}, t = \frac{85 + 3705}{32}

Decimal Notation

t = 0.75410 \dots, t = 4.55839 \dots

Solution steps

460 = - 16 t^{2} + 85 t + 405

Switch sides

- 16 t^{2} + 85 t + 405 = 460

Move

460

to the left side

- 16 t^{2} + 85 t - 55 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- 85 \pm 8 5 ^{2} - 4 ( - 16 ) ( - 55 )}{2 ( - 16 )}

8 5^{2} - 4 (- 16) (- 55) = 3705

t_{1, 2} = \frac{- 85 \pm 3705}{2 ( - 16 )}

Separate the solutions

t_{1} = \frac{- 85 + 3705}{2 ( - 16 )}, t_{2} = \frac{- 85 - 3705}{2 ( - 16 )}

t = \frac{- 85 + 3705}{2 ( - 16 )} : \frac{85 - 3705}{32}

t = \frac{- 85 - 3705}{2 ( - 16 )} : \frac{85 + 3705}{32}

The solutions to the quadratic equation are:

t = \frac{85 - 3705}{32}, t = \frac{85 + 3705}{32}

3 x - 91 > - 87 and 17 x - 16 > 18

9 - ∣ 3 x + 6 ∣ = 6

3 (3 - 2 x) = x + 5

S^{2} - 9 S + 6 = 0

\frac{x}{2} + 3 = \frac{5 x}{3} - 4 x

What are the solutions to the equation 460=-16t^2+85t+405 ?
The solutions to the equation 460=-16t^2+85t+405 are t=(85-sqrt(3705))/(32),t=(85+sqrt(3705))/(32)
Find the zeros of 460=-16t^2+85t+405
The zeros of 460=-16t^2+85t+405 are t=(85-sqrt(3705))/(32),t=(85+sqrt(3705))/(32)