x^2-x-12=?? can anyone solve this algebra?
Answers
Answered by
1
Answer:
The solutions are
x
=
−
3
x
=
4
Explanation:
x
2
−
x
−
12
=
0
We can Split the Middle Term of this expression to factorise it and thereby find solutions.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
1
⋅
−
12
=
−
12
AND
N
1
+
N
2
=
b
=
−
1
After trying out a few numbers we get
N
1
=
3
and
N
2
=
−
4
3
⋅
−
4
=
−
12
, and
3
+
(
−
4
)
=
−
1
x
2
−
x
−
12
=
x
2
−
4
x
+
3
x
−
12
x
(
x
−
4
)
+
3
(
x
−
4
)
=
0
(
x
+
3
)
(
x
−
4
)
=
0
Now we equate the factors to zero.
x
+
3
=
0
,
x
=
−
3
x
−
4
=
0
,
x
=
4
Step-by-step explanation:
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