120k views
5 votes
8x^(2)+16x=42 completeing the square

User Olimart
by
5.7k points

1 Answer

7 votes
16
x
2
+
16
x
=
42
Step 2: Subtract 42 from both sides.
16
x
2
+
16
x

42
=
42

42
16
x
2
+
16
x

42
=
0
For this equation: a=16, b=16, c=-42
16
x
2
+
16
x
+

42
=
0
Step 3: Use quadratic formula with a=16, b=16, c=-42.
x
=

b
±
b
2

4
a
c
2
a
x
=

(
16
)
±
(
16
)
2

4
(
16
)
(

42
)
2
(
16
)
x
=

16
±
2944
32
x
=

1
2
+
1
4
46
or
x
=

1
2
+

1
4
46
Answer:
x
=

1
2
+
1
4
46
or
x
=

1
2
+

1
4
46
User Gilles Radrizzi
by
5.8k points
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