What are the solutions to the equation 87=195t-16t^2 ?

The solutions to the equation 87=195t-16t^2 are t=(195-sqrt(32457))/(32),t=(195+sqrt(32457))/(32)

Find the zeros of 87=195t-16t^2

The zeros of 87=195t-16t^2 are t=(195-sqrt(32457))/(32),t=(195+sqrt(32457))/(32)

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87 = 195 t - 16 t^{2}

t = \frac{195 - 32457}{32}, t = \frac{195 + 32457}{32}

Solution steps

87 = 195 t - 16 t^{2}

Switch sides

195 t - 16 t^{2} = 87

Move

87

to the left side

195 t - 16 t^{2} - 87 = 0

Write in the standard form

a x^{2} + b x + c = 0

- 16 t^{2} + 195 t - 87 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- 195 \pm 19 5 ^{2} - 4 ( - 16 ) ( - 87 )}{2 ( - 16 )}

19 5^{2} - 4 (- 16) (- 87) = 32457

t_{1, 2} = \frac{- 195 \pm 32457}{2 ( - 16 )}

Separate the solutions

t_{1} = \frac{- 195 + 32457}{2 ( - 16 )}, t_{2} = \frac{- 195 - 32457}{2 ( - 16 )}

t = \frac{- 195 + 32457}{2 ( - 16 )} : \frac{195 - 32457}{32}

t = \frac{- 195 - 32457}{2 ( - 16 )} : \frac{195 + 32457}{32}

The solutions to the quadratic equation are:

t = \frac{195 - 32457}{32}, t = \frac{195 + 32457}{32}

3 + x = 5

x^{2} x^{2}

- 14 y < 2

x^{2} - 12 x + 36 = 0

\frac{2 - 5}{2}

What are the solutions to the equation 87=195t-16t^2 ?
The solutions to the equation 87=195t-16t^2 are t=(195-sqrt(32457))/(32),t=(195+sqrt(32457))/(32)
Find the zeros of 87=195t-16t^2
The zeros of 87=195t-16t^2 are t=(195-sqrt(32457))/(32),t=(195+sqrt(32457))/(32)