x^2-4x+1=0 find square root
Answers
Answered by
3
Step-by-step explanation:
The difference of squares identity can be written:
A
2
−
B
2
=
(
A
−
B
)
(
A
+
B
)
We can complete the square and use this with
A
=
(
x
−
2
)
and
B
=
√
3
as follows:
0
=
x
2
−
4
x
+
1
0
=
x
2
−
4
x
+
4
−
3
0
=
(
x
−
2
)
2
−
(
√
3
)
2
0
=
(
(
x
−
2
)
−
√
3
)
(
(
x
−
2
)
+
√
3
)
0
=
(
x
−
2
−
√
3
)
(
x
−
2
+
√
3
)
Hence:
x
=
2
±
√
3
Answered by
1
Answer:
ANSWER
x2−4x+1=0
(x−2)2−4+1=0
(x−2)2=3
(x−2)=+root 3 or −root 3
x=2+root 3
or
x= 2-root 3
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