Rewrite the equation by completing the square. 4 x^{2} -12 x +9 = 04x 2 −12x+9=0

Mathematics

1 answer:

DedPeter [7]3 years ago

4 0

Answer:

(2x -3)^2 = 0

Step-by-step explanation:

In this particular instance, the square is already complete. The rewrite is to show that.

(2x -3)^2 = 0

In the general case, ...

(ax +b)^2 = a^2x^2 +2abx +b^2

Comparing this form to the given left-side expression, we see that ...

a = 2, b = -3

So, the trinomial is already a perfect square trinomial.

You might be interested in

1/3x=5/12 show your work

insens350 [35]

Answer:

4/5 or 0.8

Step-by-step explanation:

1/3x = 5/12

cross multiply

(12×1) = (5×3x)

divide through by 15

x = 12/15

x = 4/5 or 0.8

3 0

3 years ago

A puppy and a kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 m/sec, while the kitten c

Lelechka [254]

Make two equations representing the position of each animal, p and k, for the puppy and kitten respectively.

p=25t and k=180+20t

The puppy will catch the kitten when p=k so we can say:

25t=180+20t subtract 20t from both sides

5t=180 divide both sides by 5

t=36

So the puppy will catch the kitten after 36 seconds.

7 0

4 years ago

Read 2 more answers

Rewrite the equation of the parabola in vertex form.

aleksandrvk [35]

The answer would be y=(x+4)^2-37

5 0

3 years ago

Nancy and Bill collect coins. Nancy has x coins. Bill has 3 coins fewer than two times the number of coins Nancy has. Write and

Hatshy [7]

Nancy & Bill can have 2x-5 coins

7 0