Answer:
Step-by-step explanation:
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
2
,
b
=
−
2
, and
c
=
−
3
into the quadratic formula and solve for
x
.
2
±
√
(
−
2
)
2
−
4
⋅
(
2
⋅
−
3
)
2
⋅
2
Simplify.
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x
=
1
±
√
7
2
The result can be shown in multiple forms.
Exact Form:
x
=
1
±
√
7
2
Decimal Form:
x
=
1.82287565
…
,
−
0.82287565
…
