4x2+16x+8=0 by completing the square
1 answer:
Answer:
Add
8
to both sides of the equation.
2
x
2
+
16
x
=
8
Divide each term by
2
and simplify.
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x
2
+
8
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
=
(
4
)
2
Add the term to each side of the equation.
x
2
+
8
x
+
(
4
)
2
=
4
+
(
4
)
2
Simplify the equation.
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x
2
+
8
x
+
16
=
20
Factor the perfect trinomial square into
(
x
+
4
)
2
.
(
x
+
4
)
2
=
20
Solve the equation for
x
.
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x
=
±
2
√
5
−
4
The result can be shown in multiple forms.
Exact Form:
x
=
±
2
√
5
−
4
Decimal Form:
x
=
0.47213595
…
,
−
8.47213595
…
Step-by-step explanation:
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Initial fee: $25
Per hour fee: $7
Your budget: $60
x = # of hours you can rent the surfboard
$25 + $7x ≤ $60
Subtract $25 from both sides.
$7x ≤ $35
Divide both sides by $7
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You can rent the surfboard for less than or equal to 5 hours.
