x^2-9x+14, find the roots by completing its square!!
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Answer:
Solve
x
2
−
9
x
+
14
=
0
.
The answer is
x
=
7
and
x
=
2
.
Factor the left side of the equation.
(
x
−
7
)
(
x
−
2
)
=
0
Solve each term in the product separately.
x
−
7
=
0
Add 7 to both sides.
x
=
7
x
−
2
=
0
Add 2 to both sides.
x
=
2
Check.
x
=
7
7
2
−
9
(
7
)
+
14
=
0
49
−
63
+
14
=
0
x
=
2
2
2
−
9
(
2
)
+
14
=
0
4
−
18
+
14
=
0
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