Question

What are the x-intercepts of `x²=y-6x-1`?

Answer 1

`=-5,828 and -0,171`

Explanation:

To find x-intercepts, let y = 0.

Then `x^2+6x+1=0`.

This is a quadratic equation and may be solved using the quadratic formula to get that
`x=-3+-sqrt32/2`

`=-5,828 or -0,171`

This is also apparent from the graph of the function :

graph{x^2+6x+1 [-16.02, 16.01, -8.01, 8.01]}