What are the solutions to the equation 20=-16t^2+100t+5 ?

The solutions to the equation 20=-16t^2+100t+5 are t=(25-sqrt(565))/8 ,t=(25+sqrt(565))/8

Find the zeros of 20=-16t^2+100t+5

The zeros of 20=-16t^2+100t+5 are t=(25-sqrt(565))/8 ,t=(25+sqrt(565))/8

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20 = - 16 t^{2} + 100 t + 5

t = \frac{25 - 565}{8}, t = \frac{25 + 565}{8}

Decimal Notation

t = 0.15378 \dots, t = 6.09621 \dots

Solution steps

20 = - 16 t^{2} + 100 t + 5

Switch sides

- 16 t^{2} + 100 t + 5 = 20

Move

20

to the left side

- 16 t^{2} + 100 t - 15 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 ( - 16 ) ( - 15 )}{2 ( - 16 )}

10 0^{2} - 4 (- 16) (- 15) = 4565

t_{1, 2} = \frac{- 100 \pm 4 565}{2 ( - 16 )}

Separate the solutions

t_{1} = \frac{- 100 + 4 565}{2 ( - 16 )}, t_{2} = \frac{- 100 - 4 565}{2 ( - 16 )}

t = \frac{- 100 + 4 565}{2 ( - 16 )} : \frac{25 - 565}{8}

t = \frac{- 100 - 4 565}{2 ( - 16 )} : \frac{25 + 565}{8}

The solutions to the quadratic equation are:

t = \frac{25 - 565}{8}, t = \frac{25 + 565}{8}

4 w (w + 3) + 15 = 0

- 4 x^{2} + 64 x - 252 = 0

x^{2} = - 14 + 9 x

2000 x^{2} + 1000 x - 3000 = 0

- 9 x^{2} = 72

What are the solutions to the equation 20=-16t^2+100t+5 ?
The solutions to the equation 20=-16t^2+100t+5 are t=(25-sqrt(565))/8 ,t=(25+sqrt(565))/8
Find the zeros of 20=-16t^2+100t+5
The zeros of 20=-16t^2+100t+5 are t=(25-sqrt(565))/8 ,t=(25+sqrt(565))/8