What are the solutions to the equation 70=-16t^2+70t+5 ?

The solutions to the equation 70=-16t^2+70t+5 are t=(35-sqrt(185))/(16),t=(35+sqrt(185))/(16)

Find the zeros of 70=-16t^2+70t+5

The zeros of 70=-16t^2+70t+5 are t=(35-sqrt(185))/(16),t=(35+sqrt(185))/(16)

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70 = - 16 t^{2} + 70 t + 5

t = \frac{35 - 185}{16}, t = \frac{35 + 185}{16}

Decimal Notation

t = 1.33740 \dots, t = 3.03759 \dots

Solution steps

70 = - 16 t^{2} + 70 t + 5

Switch sides

- 16 t^{2} + 70 t + 5 = 70

Move

70

to the left side

- 16 t^{2} + 70 t - 65 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- 70 \pm 7 0 ^{2} - 4 ( - 16 ) ( - 65 )}{2 ( - 16 )}

7 0^{2} - 4 (- 16) (- 65) = 2185

t_{1, 2} = \frac{- 70 \pm 2 185}{2 ( - 16 )}

Separate the solutions

t_{1} = \frac{- 70 + 2 185}{2 ( - 16 )}, t_{2} = \frac{- 70 - 2 185}{2 ( - 16 )}

t = \frac{- 70 + 2 185}{2 ( - 16 )} : \frac{35 - 185}{16}

t = \frac{- 70 - 2 185}{2 ( - 16 )} : \frac{35 + 185}{16}

The solutions to the quadratic equation are:

t = \frac{35 - 185}{16}, t = \frac{35 + 185}{16}

\frac{a - b}{( b - a ) ^{2}}

v^{2} + 2 v + 1 = 0

10 u^{2} + 17 u + 3 = 0

\frac{7}{4} - \frac{2}{3}

14 + \frac{x}{2} = 3

What are the solutions to the equation 70=-16t^2+70t+5 ?
The solutions to the equation 70=-16t^2+70t+5 are t=(35-sqrt(185))/(16),t=(35+sqrt(185))/(16)
Find the zeros of 70=-16t^2+70t+5
The zeros of 70=-16t^2+70t+5 are t=(35-sqrt(185))/(16),t=(35+sqrt(185))/(16)