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2 years ago

Carter is solving for x by the process of completing the square for the following

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

3 0

Answer:

The number that goes in place of the question mark is 2.

Step-by-step explanation:

Let's solve it!

3x² + 12x - 24 = 0

First we can factor 3 out of each term:

x² + 4x - 8 = 0

Now we'll add 12 to both sides to complete the square:

x² + 4x + 4 = 12

And finish it off:

(x + 2)² = 12

So the answer to the question is 2

Bonus:

We can also now solve this for x:

(x + 2)² = 12

x = √12 - 2

x = 2√3 - 2

x ≈ 2 × ±1.732 - 2

x ≈ 1.464, -5.464

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3 years ago

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velikii [3]

Answer:

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Step-by-step explanation:

This is just one of the ways you can do it

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Hope this helps :)

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3 years ago

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vaieri [72.5K]

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3 years ago

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