To convert the expression x^2 + 4x + 5 to power form, we first need to complete the square. Here are the steps:

1. Identify the coefficients in the quadratic equation. In this case, a = 1, b = 4, and c = 5.

2. The formula to complete the square is (x + b/2a)^2 - (b/2a)^2 + c.

3. Substitute the values of a, b, and c into the formula. This gives us (x + 4/2*1)^2 - (4/2*1)^2 + 5.

4. Simplify the equation to get (x + 2)^2 - 4 + 5.

5. Further simplify to get (x + 2)^2 + 1.

So, the power form of the expression x^2 + 4x + 5 is (x + 2)^2 + 1.

Question

To convert the expression x^2 + 4x + 5 to power form, we first need to complete the square. Here are the steps:

1. Identify the coefficients in the quadratic equation. In this case, a = 1, b = 4, and c = 5.

2. The formula to complete the square is (x + b/2a)^2 - (b/2a)^2 + c.

3. Substitute the values of a, b, and c into the formula. This gives us (x + 4/2*1)^2 - (4/2*1)^2 + 5.

4. Simplify the equation to get (x + 2)^2 - 4 + 5.

5. Further simplify to get (x + 2)^2 + 1.

So, the power form of the expression x^2 + 4x + 5 is (x + 2)^2 + 1.

Knowee AI · Accepted Answer

To convert the expression x^2 + 4x + 5 to power form, we first need to complete the square. Here are the steps:

1. Identify the coefficients in the quadratic equation. In this case, a = 1, b = 4, and c = 5.

2. The formula to complete the square is (x + b/2a)^2 - (b/2a)^2 + c.

3. Substitute the values of a, b, and c into the formula. This gives us (x + 4/2*1)^2 - (4/2*1)^2 + 5.

4. Simplify the equation to get (x + 2)^2 - 4 + 5.

5. Further simplify to get (x + 2)^2 + 1.

So, the power form of the expression x^2 + 4x + 5 is (x + 2)^2 + 1.

Convert the expression x 2 +4x+5 to power form.