Answer:
Since
x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
x
2
−
2
x
+
3
=
G
(
x
)
Multiply
G
by
x
.
x
2
−
2
x
+
3
=
G
x
Subtract
G
x
from both sides of the equation.
x
2
−
2
x
+
3
−
G
x
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
1
,
b
=
−
2
−
G
, and
c
=
3
into the quadratic formula and solve for
x
.
−
(
−
2
−
G
)
±
√
(
−
2
−
G
)
2
−
4
⋅
(
1
⋅
3
)
2
⋅
1
Simplify.
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x
=
2
+
G
±
√
G
2
+
4
G
−
8
2
The final answer is the combination of both solutions.
x
=
2
+
G
+
√
G
2
+
4
G
−
8
2
x
=
2
+
G
−
√
G
2
+
4
G
−
8
2
Step-by-step explanation:
