What are the solutions to the equation 785/16 =-16(t)^2+50(t)+10 ?

The solutions to the equation 785/16 =-16(t)^2+50(t)+10 are t= 25/16

Find the zeros of 785/16 =-16(t)^2+50(t)+10

The zeros of 785/16 =-16(t)^2+50(t)+10 are t= 25/16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{785}{16} = - 16 (t)^{2} + 50 (t) + 10

t = \frac{25}{16}

Decimal Notation

t = 1.5625

Solution steps

\frac{785}{16} = - 16 t^{2} + 50 (t) + 10

Multiply both sides by

16

785 = - 256 t^{2} + 800 t + 160

Switch sides

- 256 t^{2} + 800 t + 160 = 785

Move

785

to the left side

- 256 t^{2} + 800 t - 625 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- 800 \pm 80 0 ^{2} - 4 ( - 256 ) ( - 625 )}{2 ( - 256 )}

80 0^{2} - 4 (- 256) (- 625) = 0

t_{1, 2} = \frac{- 800 \pm 0}{2 ( - 256 )}

t = \frac{- 800}{2 ( - 256 )}

\frac{- 800}{2 ( - 256 )} = \frac{25}{16}

t = \frac{25}{16}

The solution to the quadratic equation is:

t = \frac{25}{16}

32 = - 16 t^{2} + 16 t + 32

s^{2} = 2

x^{2} + 16 x = - 8

u^{2} + 4 u - 5 = 0

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

What are the solutions to the equation 785/16 =-16(t)^2+50(t)+10 ?
The solutions to the equation 785/16 =-16(t)^2+50(t)+10 are t= 25/16
Find the zeros of 785/16 =-16(t)^2+50(t)+10
The zeros of 785/16 =-16(t)^2+50(t)+10 are t= 25/16