Question

If s^2– 4s – 6 = 6, What are the possible values of s?

Answer 1

s = +6 or -2

Explanation:

`{s}^(2) - 4s - 6 = 6`

`= > {s}^(2) - 4s - 6 - 6 = 0`

`= > {s}^(2) - 4s - 12 = 0`

Lets factorise the eqn.

`= > {s}^(2) - 6s + 2s - 12 = 0`

`= > s(s - 6) + 2(s - 6) = 0`

`= > (s - 6)(s + 2) = 0`

Here 's' will have 2 values.

1)
`s - 6 = 0`

`= > s = 6`

2)
`s + 2 = 0`

`= > s = - 2`