The solutions are
x
=
2
,
x
=
3
Explanation:
x
^2
−
5
x
+
6
=
0
Here we can first factorise the expression and then find the solution:
Factorising by splitting middle term
x
2−
2
x
−
3
x
+
6
=
0
x
(
x
−
2
)
−3
(
x
−
2
)
=
0
(
x
−
2
)
(
x−
3
)
= 0
Equating the x two factors with zero to obtain solutions:
x
-
2=0
x
=
2
x
−
3
=
0
,
x
=
3
