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Add  

5

to both sides of the equation.

x

2

+

2

x

=

5

Divide the coefficient of the  

x

value by  

2

, then square the result.

2

2

=

1

;

1

2

=

1

Add the result to both sides.

x

2

+

2

x

+

1

=

5

+

1

=

x

2

+

2

x

+

1

=

6

The left side is now a perfect square trinomial.

x

2

+

2

x

+

1

=

(

x

+

1

)

2

(

x

+

1

)

2

=

6

Take the square root on both sides.

x

+

1

=

±

√

6

Subtract  

1

from both sides.

x

=

√

6

−

1

x

=

−

√

6

−

1