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

##### 1 Answer
Nov 10, 2015

$= - 5 , 828 \mathmr{and} - 0 , 171$

#### Explanation:

To find x-intercepts, let y = 0.

Then ${x}^{2} + 6 x + 1 = 0$.

This is a quadratic equation and may be solved using the quadratic formula to get that
$x = - 3 \pm \frac{\sqrt{32}}{2}$

$= - 5 , 828 \mathmr{and} - 0 , 171$

This is also apparent from the graph of the function :

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