solve by completing square
Answers
Answered by
0
Answer:
Add
14
to both sides of the equation.
x
2
+
9
x
=
14
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
9
2
)
2
Add the term to each side of the equation.
x
2
+
9
x
+
(
9
2
)
2
=
14
+
(
9
2
)
2
Simplify the equation.
Tap for more steps...
x
2
+
9
x
+
81
4
=
137
4
Factor the perfect trinomial square into
(
x
+
9
2
)
2
.
(
x
+
9
2
)
2
=
137
4
Solve the equation for
x
.
Tap for more steps...
x
=
±
√
137
2
−
9
2
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
137
2
−
9
2
Decimal Form:
x
=
1.35234995
…
,
−
10.35234995
…
Step-by-step explanation:
Similar questions