What are the solutions to the equation 100=-16t^2+96t ?

The solutions to the equation 100=-16t^2+96t are t=(6-sqrt(11))/2 ,t=(6+sqrt(11))/2

Find the zeros of 100=-16t^2+96t

The zeros of 100=-16t^2+96t are t=(6-sqrt(11))/2 ,t=(6+sqrt(11))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

100 = - 16 t^{2} + 96 t

t = \frac{6 - 11}{2}, t = \frac{6 + 11}{2}

Decimal Notation

t = 1.34168 \dots, t = 4.65831 \dots

Solution steps

100 = - 16 t^{2} + 96 t

Switch sides

- 16 t^{2} + 96 t = 100

Move

100

to the left side

- 16 t^{2} + 96 t - 100 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- 96 \pm 9 6 ^{2} - 4 ( - 16 ) ( - 100 )}{2 ( - 16 )}

9 6^{2} - 4 (- 16) (- 100) = 1611

t_{1, 2} = \frac{- 96 \pm 16 11}{2 ( - 16 )}

Separate the solutions

t_{1} = \frac{- 96 + 16 11}{2 ( - 16 )}, t_{2} = \frac{- 96 - 16 11}{2 ( - 16 )}

t = \frac{- 96 + 16 11}{2 ( - 16 )} : \frac{6 - 11}{2}

t = \frac{- 96 - 16 11}{2 ( - 16 )} : \frac{6 + 11}{2}

The solutions to the quadratic equation are:

t = \frac{6 - 11}{2}, t = \frac{6 + 11}{2}

n^{2} + 20 n + 400 = 925

x^{2} = 1 7^{2} - 8^{2}

16 x^{2} + 56 x

2 x^{2} - 100 + 1200 = 0

0 = 12 x^{2} - 12 x - 24

What are the solutions to the equation 100=-16t^2+96t ?
The solutions to the equation 100=-16t^2+96t are t=(6-sqrt(11))/2 ,t=(6+sqrt(11))/2
Find the zeros of 100=-16t^2+96t
The zeros of 100=-16t^2+96t are t=(6-sqrt(11))/2 ,t=(6+sqrt(11))/2