Answer:
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Explanation:
Subtract
3
x
2
from both sides of the equation.
7
x
−
3
x
2
=
−
1
Add
1
to both sides of the equation.
7
x
−
3
x
2
+
1
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
−
3
,
b
=
7
, and
c
=
1
into the quadratic formula and solve for
x
.
−
7
±
√
7
2
−
4
⋅
(
−
3
⋅
1
)
2
⋅
−
3
Simplify.
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x
=
7
±
√
61
6
The final answer is the combination of both solutions.
x
=
7
+
√
61
6
,
7
−
√
61
6
The result can be shown in multiple forms.
Exact Form:
x
=
7
+
√
61
6
,
7
−
√
61
6
Decimal Form:
x
=
2.46837494
…
,
−
0.13504161
…