4. 4x2 - 8x + 1 = 0. solve the following quadratic equation by completing the square
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Step-by-step explanation:
Explanation:
4
x
2
−
8
x
+
1
=
0
This is a Quadratic equation (in form
a
x
2
+
b
x
+
c
=
0
)
Use Quadratic equation
x
=
−
b
±
√
b
2
−
4
a
c
2
a
Note:
a
and
b
are the coefficients of
x
2
and
x
and
c
is the constant number
So,
a
=
4
,
b
=
−
8
,
c
=
1
→
x
=
−
(
−
8
)
±
√
−
8
2
−
4
(
4
)
(
1
)
2
(
4
)
→
x
=
8
±
√
64
−
(
16
)
8
→
x
=
8
±
√
48
8
→
x
=
8
±
√
16
⋅
3
8
→
x
=
8
±
4
√
3
8
→
x
=
8
2
±
4
1
√
3
8
2
⇒
x
=
2
±
√
3
2
Remember that
±
means "plus or minus"
Which implies that
x
=
(
2
+
√
3
2
,
2
−
√
3
2
)
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