Respuesta :

Answer:

see the explanation

Step-by-step explanation:

we have

[tex]-16t^2+64t=0[/tex]

Solve for t

Factor -16t

[tex]-16t(t-4)=0[/tex] ----> quadratic equation in factored form

therefore

The solutions are

[tex]t=0, t=4[/tex]

For this case we must solve the following equation:

[tex]-16t ^ 2 + 64t = 0[/tex]

Taking common factor [tex]16t[/tex]we have:

[tex]16t (-t + 4) = 0[/tex]

Thus, it is observed that equality is fulfilled when:

[tex]t = 0\\t = 4[/tex]

Thus, the solution of the equation is given by:

[tex]t_ {1} = 0\\t_{2} = 4[/tex]

Answer:

[tex]t_ {1} = 0\\t_{2} = 4[/tex]