Completing the square v003

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Completing the square

Completing the square of a quadratic equation.

P a r r o t e d i t i o n.

Let’s study together!

example 1.

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You were asked to complete the square of this quadratic equation:

3

1

2

3

4

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So we put the equation into our table.

4

1

2

3

4


Highlight the part of the equation that contain x2 and x only.

Do not highlight the constant!

5

1

2

3

4


Call this expression : p

6

1

2

3

4


Rewrite 6x as (2)(3) x

7

We need to do this to apply the formula :

1

2

3

4


222 2 bababa

8

1

2

3

4


Rewrite 6x as (2)(3) x.

We need to do this to apply the formula :

222 2 bababa

a = xb = 3

9

1

2

3

4


222 2 bababa

Add 32 to p.

10

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2

3

4


Add 32 to p.

222 2 bababa a = xb = 3

Now we can apply the above formula.

Call this expression : q

11

4

5

6

7

8


222 2 bababa

a = xb = 3

12

4

5

6

7

8


222 2 bababa

a = xb = 3

There! We applied the formula.

13

4

5

6

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since

then

14

4

5

6

7

8


since

then

15

4

5

6

7

8


-9 + 5 is 4

Simplify y!


Question :

Answer :


Whew!! So tiring.Now I can sleep.

Completing the square v003

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