Question

x^2-4x+1=0 find square root​

Answer 1

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

Answer 2

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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