Answer:
x
2
+
7
x
−
4
=
0
Add
4
to both sides of the equation.
x
2
+
7
x
=
4
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
=
(
7
2
)
2
Add the term to each side of the equation.
x
2
+
7
x
+
(
7
2
)
2
=
4
+
(
7
2
)
2
Simplify the equation.
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x
2
+
7
x
+
49
4
=
65
4
Factor the perfect trinomial square into
(
x
+
7
2
)
2
.
(
x
+
7
2
)
2
=
65
4
Solve the equation for
x
.
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x
=
±
√
65
2
−
7
2
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
65
2
−
7
2
Decimal Form:
x
=
0.53112887
−
7.53112887
Explanation: