Start with x^2 + 4x = 12 and complete the square, what is the equivalent equation?

1 answer:

3 0

The answer is A. You multiply each side by (b/2)^2. B is 4. 4 divided by 2 squared is 4. To make it the same equation squared, you factor it to (x+2)^2. You have to also add the (b/2)^2 to 12 so 12+4=16

You might be interested in

Which number line models the solution set of the following problem? One less than twice a number is no less than five. What is t

Nadya [2.5K]

Answer:

Option 1.

The solution set is: {n|n is a real number, n≥3}

Step-by-step explanation:

1. You must read carefully the information given in the problem: "One less than twice a number" indicates that you must write a number $n$ multiplied by 2 and subtract 1 from this term, as following:

$2n-1$

2. "is not less than five" indicates that the result must be equal or greater than 5. Then, you obtain the following expression:

$2n-1\geq5$

3. Now, you can solve for $n$ . Then, you obtain:

$2n-1\geq5\\2n\geq6\\n\geq\frac{6}{2}\\n\geq3$

4. Then, the solution set is: {n|n is a real number, n≥3}.

5. The correct plot on the number line must show a circle on 3 (You must fill in the circle if the sign is $\leq$ or $\geq$ ) with a line from that circle to the right.