Question

What is the x intercept of `yx= 6x^2/2 + 4x`?

Answer 1

x-intercepts: `x=0` and `x=-4/3`

Explanation:

The x-intercept is the value(s) of `x` when `y=0`

`yx=6x^2/2+4x`
when `y=0` is equivalent to
`3x^2+4x=0`

This factors as
`x(3x+4)=0`

with solutions
`x=0 and x=-4/3`

Alternate way of looking at it
`yx=6x^2+4x`
can be simplified by dividing by `x`
provided `color(black)(x!=0)`

In this case we would have the linear equation (graph below)
`y=3x+4`
(with the solution `x=-4/3` when `x!=0`)
graph{xy=3x^2+4x [-10, 10, -5, 5]}