Question

The time a projectile spends in the air can be modeled by the equation t² -8t + 15 = 0, in which t represents the amount of time traveled, in seconds. Which equation is equivalent to t² -8t + 15 = 0?

(t -3)(t + 5) = 0
(t + 3)(t - 5) = 0
(t - 3)(t -5) = 0
(t = 3)(t + 5) = 0

Answer 1

The equation which is equivalent to
`t^2-8t+15=0` is

`(t-3)(t-5)=0`

Explanation:

Given that the time a projectile spends in the air can be modeled by the equation
`t^2-8t+15=0`, where t represents the amount of time traveled in seconds.

To find the equation is equivalent to
`t^2-8t+15=0` :

`t^2-8t+15=0`

`t^2-3t-5t+15=0`

`t(t-3)-5(t-3)=0`

`(t-3)(t-5)=0`

Therefore the equation which is equivalent to
`t^2-8t+15=0` is

`(t-3)(t-5)=0`