Question

How do you solve `12t + 9 = 5t²`?

Answer 1

`t = 3 or t = -3/5`

Explanation:

Make the quadratic equal to 0.

`5t^2 - 12t -9 = 0`

`(5t + 3)(t -3) = 0 " factorise"`

`5t + 3 = 0 rArr 5t = -3 rArr t = -3/5`
`t- 3 = 0 rArr t =3`