The equation is .
Compare the equation with .
a = , b = 5 and c = 2
a) Now we can find discriminant value
\ (Substitute a =
, b = 5 and c = 2)
= 121 (Simplify)
b) The discriminant is positive, so the equation have two rational roots.
\c) Apply quadratic formula:
(Replace
, a with
, and b with 5)
(
)
The solutions are
The discriminant value is 121 and the equation have two rational roots.
\The solutions are .