७.2
x2-7x
+6 क गुणनखण करे-
Answers
Answered by
0
Answer:
The solutions are
x
=
3
2
x
=
2
Explanation:
2
x
2
−
7
x
+
6
=
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
=
2
⋅
6
=
12
AND
N
1
+
N
2
=
b
=
−
7
After trying out a few numbers we get
N
1
=
−
3
and
N
2
=
−
4
−
3
⋅
−
4
=
12
, and
−
3
+
(
−
4
)
=
−
7
2
x
2
−
7
x
+
6
=
0
=
2
x
2
−
4
x
−
3
x
+
6
2
x
(
x
−
2
)
−
3
(
x
−
2
)
=
0
(
2
x
−
3
)
(
x
−
2
)
=
0
Now we equate the factors to zero and obtain solutions.
2
x
−
3
=
0
,
x
=
3
2
x
−
2
=
0
,
x
=
2
Answered by
1
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