2x²-12x=-10 solve by completing the square
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2x²-12x=-10 solve by completing the square
need help po
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Answer:
The two solutions are
x
=
1
and
x
=
5
.
Explanation:
First of all, we can divide both members by
2
:
2
x
2
−
12
x
+
10
2
=
0
2
which simplifies into
x
2
−
6
x
+
5
=
0
Arrived at this point, we can complete the square:
x
2
−
6
x
+
9
−
9
+
5
=
0
And we notice that
x
2
−
6
x
+
9
=
(
x
−
3
)
2
.
So, the whole expression becomes
(
x
−
3
)
2
−
4
=
0
⇔
(
x
−
3
)
2
=
4
⇔
x
−
3
=
±
2
⇔
x
=
3
±
2
⇒
x
=
1
or
x
=
5
.
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