What are the solutions to the equation 4t-(t^2)/4 =9.75 ?

The solutions to the equation 4t-(t^2)/4 =9.75 are t=3,t=13

Find the zeros of 4t-(t^2)/4 =9.75

The zeros of 4t-(t^2)/4 =9.75 are t=3,t=13

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 t - \frac{t ^{2}}{4} = 9.75

t = 3, t = 13

Solution steps

4 t - \frac{t ^{2}}{4} = 9.75

Multiply both sides by

100

400 t - 25 t^{2} = 975

Move

975

to the left side

400 t - 25 t^{2} - 975 = 0

Write in the standard form

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

- 25 t^{2} + 400 t - 975 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- 400 \pm 40 0 ^{2} - 4 ( - 25 ) ( - 975 )}{2 ( - 25 )}

40 0^{2} - 4 (- 25) (- 975) = 250

t_{1, 2} = \frac{- 400 \pm 250}{2 ( - 25 )}

Separate the solutions

t_{1} = \frac{- 400 + 250}{2 ( - 25 )}, t_{2} = \frac{- 400 - 250}{2 ( - 25 )}

t = \frac{- 400 + 250}{2 ( - 25 )} : 3

t = \frac{- 400 - 250}{2 ( - 25 )} : 13

The solutions to the quadratic equation are:

t = 3, t = 13

6 f^{2} + 6 f - 9 = 0

x^{2} + 10 x - 13 = 17

12 x^{2} - 10 x + 1.5 = 0

(5 - 2 x)^{2} + 2 (5 - 2 x) = 3 x - 3

x^{2} - 36 x + 240 = 0

What are the solutions to the equation 4t-(t^2)/4 =9.75 ?
The solutions to the equation 4t-(t^2)/4 =9.75 are t=3,t=13
Find the zeros of 4t-(t^2)/4 =9.75
The zeros of 4t-(t^2)/4 =9.75 are t=3,t=13