The equation is
.
Find the discriminant.
\
(Substitute
and
)
(Evaluate powers:
)
(Multiply:
)
As the discriminant is positive, there are two
-intercepts.
Find
.

(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
The the
-intercept is
.
The the
-intercept is
.