Question

The factors of the quadratic function g(x) are (5x – 1) and (x + 4). What are the solutions to the equation g(x) = 0?

Answer 1

The solutions to the equation are
`x = (1)/(5)` and
`x = -4`

Explanation:

The factors of the quadratic function g(x) are (5x – 1) and (x + 4).

This means that:

`g(x) = 0`

`(5x - 1)(x + 4) = 0`

So

`5x - 1 = 0`

`5x = 1`

`x = (1)/(5)`

And

`x + 4 = 0`

`x = -4`

The solutions to the equation are
`x = (1)/(5)` and
`x = -4`