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?

due tmr pls help!

Answer 1

Given:

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

To find:

The solutions to the equation g(x)=0.

Solution:

If the factors of the quadratic function g(x) are (5x-1) and (x+4), then the function is defined as:

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

We need to find the solutions to the equation g(x)=0. So,

`g(x)=0`

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

Using zero product property, we get

`5x-1=0` and
`x+4=0`

`x=(1)/(5)` and
`x=-4`

Therefore, the solutions to the equation g(x)=0 are
`x=(1)/(5)` and
`x=-4`.