What are the solutions to the equation 0=-16t^2+85t+30 ?

The solutions to the equation 0=-16t^2+85t+30 are t=-(-85+sqrt(9145))/(32),t=(85+sqrt(9145))/(32)

Find the zeros of 0=-16t^2+85t+30

The zeros of 0=-16t^2+85t+30 are t=-(-85+sqrt(9145))/(32),t=(85+sqrt(9145))/(32)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0 = - 16 t^{2} + 85 t + 30

t = - \frac{- 85 + 9145}{32}, t = \frac{85 + 9145}{32}

Decimal Notation

t = - 0.33217 \dots, t = 5.64467 \dots

Solution steps

0 = - 16 t^{2} + 85 t + 30

Switch sides

- 16 t^{2} + 85 t + 30 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- 85 \pm 8 5 ^{2} - 4 ( - 16 ) \cdot 30}{2 ( - 16 )}

8 5^{2} - 4 (- 16) \cdot 30 = 9145

t_{1, 2} = \frac{- 85 \pm 9145}{2 ( - 16 )}

Separate the solutions

t_{1} = \frac{- 85 + 9145}{2 ( - 16 )}, t_{2} = \frac{- 85 - 9145}{2 ( - 16 )}

t = \frac{- 85 + 9145}{2 ( - 16 )} : - \frac{- 85 + 9145}{32}

t = \frac{- 85 - 9145}{2 ( - 16 )} : \frac{85 + 9145}{32}

The solutions to the quadratic equation are:

t = - \frac{- 85 + 9145}{32}, t = \frac{85 + 9145}{32}

h^{2} - 16 h - 17 = 0

4 x - 1 = 4 x^{2}

- 1 = \frac{1}{2} (- 9.8) t^{2}

3 (1)^{2} + 2 (1) y + y^{2} = 2

3 x^{2} - 12 = x^{2} + 38

What are the solutions to the equation 0=-16t^2+85t+30 ?
The solutions to the equation 0=-16t^2+85t+30 are t=-(-85+sqrt(9145))/(32),t=(85+sqrt(9145))/(32)
Find the zeros of 0=-16t^2+85t+30
The zeros of 0=-16t^2+85t+30 are t=-(-85+sqrt(9145))/(32),t=(85+sqrt(9145))/(32)