To rewrite the equation x^2 + 12x + 5 = 3 in the form (x – a)^2, you need to complete the square on the left side of the equation. Here are the steps:

1. First, rewrite the equation so that the constant term on the left side is moved to the right side: x^2 + 12x = 3 - 5, which simplifies to x^2 + 12x = -2.

2. To complete the square, you need to add the square of half the coefficient of x to both sides of the equation. Half of 12 is 6, and 6^2 is 36. So, add 36 to both sides: x^2 + 12x + 36 = -2 + 36, which simplifies to x^2 + 12x + 36 = 34.

3. Now, the left side of the equation can be written as a square: (x + 6)^2 = 34.

4. To get the equation in the form (x – a)^2, rewrite (x + 6)^2 as (x - (-6))^2. So, the equation x^2 + 12x + 5 = 3 in the form (x – a)^2 is (x - (-6))^2 = 34.

Question

To rewrite the equation x^2 + 12x + 5 = 3 in the form (x – a)^2, you need to complete the square on the left side of the equation. Here are the steps:

1. First, rewrite the equation so that the constant term on the left side is moved to the right side: x^2 + 12x = 3 - 5, which simplifies to x^2 + 12x = -2.

2. To complete the square, you need to add the square of half the coefficient of x to both sides of the equation. Half of 12 is 6, and 6^2 is 36. So, add 36 to both sides: x^2 + 12x + 36 = -2 + 36, which simplifies to x^2 + 12x + 36 = 34.

3. Now, the left side of the equation can be written as a square: (x + 6)^2 = 34.

4. To get the equation in the form (x – a)^2, rewrite (x + 6)^2 as (x - (-6))^2. So, the equation x^2 + 12x + 5 = 3 in the form (x – a)^2 is (x - (-6))^2 = 34.

Knowee AI · Accepted Answer

To rewrite the equation x^2 + 12x + 5 = 3 in the form (x – a)^2, you need to complete the square on the left side of the equation. Here are the steps:

1. First, rewrite the equation so that the constant term on the left side is moved to the right side: x^2 + 12x = 3 - 5, which simplifies to x^2 + 12x = -2.

2. To complete the square, you need to add the square of half the coefficient of x to both sides of the equation. Half of 12 is 6, and 6^2 is 36. So, add 36 to both sides: x^2 + 12x + 36 = -2 + 36, which simplifies to x^2 + 12x + 36 = 34.

3. Now, the left side of the equation can be written as a square: (x + 6)^2 = 34.

4. To get the equation in the form (x – a)^2, rewrite (x + 6)^2 as (x - (-6))^2. So, the equation x^2 + 12x + 5 = 3 in the form (x – a)^2 is (x - (-6))^2 = 34.

How can you rewrite the equation x2 + 12x + 5 = 3 so the left side of the equation is in the form (x – a)2?

Question

How can you rewrite the equation `x^2 + 12x + 5 = 3` so the left side of the equation is in the form `(x – a)^2`?

Solution

Similar Questions

Upgrade your grade with Knowee