Question

6- Encontre as raízes pelo método das soma e do produto das raízes:

a) x2-5x + 6 = 0

b) x2-6x + 9 = 0

c) x2-x + 6 = 0​

Answer 1

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 two factors with zero to obtain solutions:
x
−
2
=
0
,
x
=
2
x
−
3
=
0
,
x
=
3
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