Answer:
Add
3
to both sides of the equation.
y
2
+
4
y
=
3
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
=
(
2
)
2
Add the term to each side of the equation.
y
2
+
4
y
+
(
2
)
2
=
3
+
(
2
)
2
Simplify the equation.
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y
2
+
4
y
+
4
=
7
Factor the perfect trinomial square into
(
y
+
2
)
2
.
(
y
+
2
)
2
=
7
Solve the equation for
y
.
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y
=
±
√
7
−
2
The result can be shown in multiple forms.
Exact Form:
y
=
±
√
7
−
2
Decimal Form:
y
=
0.64575131
…
,
−
4.64575131
…
Step-by-step explanation:
