f) |2x2 - 13x + 201 | = 13x + 20
Answers
Answered by
1
Answer:
2
x
2
−
13
x
+
20
The simplest way to do this is using the quadratic equation:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
Where,
a
=
2
b
=
−
13
c
=
20
x
=
−
(
−
13
)
±
√
(
−
13
)
2
−
4
⋅
2
⋅
20
2
⋅
2
x
=
(
13
)
±
√
169
−
160
4
x
=
(
13
)
±
√
9
4
x
=
4
and
x
=
5
2
x
−
4
=
0
x
−
5
2
=
0
Therefore,
2
x
2
−
13
x
+
20
=
(
x
−
4
)
(
x
−
5
2
)
Step-by-step explanation:
u
2
x
2
−
13
x
+
20
Factors of
20
⋅
2
which add up to -13 are -5 and -8
so you can replace -13 with -5 and -8 such that:
2
x
2
−
5
x
−
8
x
+
20
which goes to:
x
(
2
x
−
5
)
−
4
(
2
x
−
5
)
Take the expressions not in the brackets together to get:
(
x
−
4
)
(
2
x
−
5
)
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