solution by factoring
x2+6x+9=0
Answers
Answered by
2
Explanation:
x
2
+
6
x
+
9
=
0
We can Split the Middle Term of this expression to factorise it and thereby find the solution.
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
⋅
9
=
9
AND
N
1
+
N
2
=
b
=
6
After trying out a few numbers we get
N
1
=
3
and
N
2
=
3
3
⋅
3
=
9
, and
3
+
3
=
6
x
2
+
6
x
+
9
=
x
2
+
3
x
+
3
x
+
9
x
(
x
+
3
)
+
3
(
x
+
3
)
=
0
(
x
+
3
)
(
x
+
3
)
=
0
We now equate the factor to zero to obtain the solution (both factors are equal here).
x
+
3
=
0
x
=
−
3
is the solution.
Answered by
0
Answer:
2x+6x=(-9)
8x=(-9)
x=(-9/8)
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