1. The problem statement, all variables and given/known data

Use algebra to ﬁnd the x-intercepts and y-intercept of The graph of y=-x^2/5+x/5+6

this is a parabola.

2. Relevant equations

y=-x^2/5+x/5+6

3. The attempt at a solution

Find the y-intercept , which is substitute 0=x into the equation to find the answer , done that .

The problem I have is where to start to find the x-intercept , I know that y=0 so I now have x^2/5+x/5+6=0 , but believe I can't now factorise this equation and will have to first clear the fractions first . Is this the right place to start.