Question

Write x2
+ 5x + 4 in completed square form.

Answer 1

Answer:

x

2

−5x+5=0

x

2

−5x=−5

(1) Divide the equation by the coefficient of x

2

x

2

−

1

5

x=−

1

5

(2) Add the square of half the coefficient of x , both sides

x

2

−5x+(

2

5

)

2

=−5+(

2

5

)

2

(x−

2

5

)

2

=−5+

4

25

=

4

5

⇒x−

2

5

=±

4

5

=±

2

5

x=

2

5

±

2

5

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