Ic: x2 – 5x+3
complete the square on the following quadratic

Add

3

to both sides of the equation.

x

2

−

5

x

=

3

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

b

.

(

b

2

)

2

=

(

−

5

2

)

2

Add the term to each side of the equation.

x

2

−

5

x

+

(

−

5

2

)

2

=

3

+

(

−

5

2

)

2

Simplify the equation.

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x

2

−

5

x

+

25

4

=

37

4

Factor the perfect trinomial square into

(

x

−

5

2

)

2

.

(

x

−

5

2

)

2

=

37

4

Solve the equation for

x

.

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x

=

±

√

37

2

+

5

2

The result can be shown in multiple forms.

Exact Form:

x

=

±

√

37

2

+

5

2

Decimal Form:

x

=

5.54138126

…

,

−

0.54138126

…

Step-by-step explanation:

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step-by-step explanation:

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