A. Complete the following sentences using appropriate Connectors from the box.
[moreover
although
meanwhile
therefore
because
as long as
thus
above all
for instance
except]
1. The store was out of chocolate chips;
they would need to make a
different type of cookies.
2. The stores are open daily
Sundays.
3. I'll stay
you need me.
4. This detergent is highly concentrated and
you will need to dilute it.
5. It was the thing he prized
Answers
Answer:
Explanation:
rearrange to
a
x
2
+
b
x
+
c
=
0
−
2
x
2
=
2
x
−
4
⇒
2
x
2
+
2
x
−
4
=
0
divide by 2
x
2
+
x
−
2
=
0
factorise
(
x
+
2
)
(
x
−
1
)
=
0
giving
x
+
2
=
0
⇒
x
=
−
2
x
−
1
=
0
⇒
x
=
1
Answer link
Jacq
Oct 6, 2017
x
=
−
2
or
x
=
1
Explanation:
To solve this, you first need to put everything on one side:
−
2
x
2
=
2
x
−
4
2
x
2
+
2
x
−
4
=
0
From here, we can factor
2
out:
2
(
x
2
+
x
−
2
)
=
0
Dividing by two, we get:
x
2
+
x
−
2
=
0
This can then be factorised by finding two numbers that multiply to get
−
2
and add to get
1
. Looking at the factors of
2
, you can find these numbers are
−
1
and
2
.
(
x
−
1
)
(
x
+
2
)
=
0
Now, you have two things multiplied together that equal
0
. This means that one of them has to equal
0
. To find the values of
x
for this to happen, we split the two parts:
x
−
1
=
0
∴
x
=
1
OR
x
+
2
=
0
∴
x
=
−
2
So, the solution to this equation is
x
=
−
2
or
x
=
1