To find the equivalent equation, we need to complete the square on the left side of the given equation. Here are the steps:

1. The given equation is 𝑥^2 + 16𝑥 = 22.

2. To complete the square, we take half of the coefficient of x, square it, and add it to both sides of the equation. Half of 16 is 8, and 8 squared is 64.

3. So, we add 64 to both sides of the equation: 𝑥^2 + 16𝑥 + 64 = 22 + 64.

4. This simplifies to: (𝑥 + 8)^2 = 86.

So, the equivalent equation is C. (𝑥 + 8)^2 = 86.

Question

To find the equivalent equation, we need to complete the square on the left side of the given equation. Here are the steps:

1. The given equation is 𝑥^2 + 16𝑥 = 22.

2. To complete the square, we take half of the coefficient of x, square it, and add it to both sides of the equation. Half of 16 is 8, and 8 squared is 64.

3. So, we add 64 to both sides of the equation: 𝑥^2 + 16𝑥 + 64 = 22 + 64.

4. This simplifies to: (𝑥 + 8)^2 = 86.

So, the equivalent equation is C. (𝑥 + 8)^2 = 86.

Knowee AI · Accepted Answer

To find the equivalent equation, we need to complete the square on the left side of the given equation. Here are the steps:

1. The given equation is 𝑥^2 + 16𝑥 = 22.

2. To complete the square, we take half of the coefficient of x, square it, and add it to both sides of the equation. Half of 16 is 8, and 8 squared is 64.

3. So, we add 64 to both sides of the equation: 𝑥^2 + 16𝑥 + 64 = 22 + 64.

4. This simplifies to: (𝑥 + 8)^2 = 86.

So, the equivalent equation is C. (𝑥 + 8)^2 = 86.

Which equation is equivalent to the given equation?𝑥2+16⁢𝑥=22 A. (𝑥+16)2=278 B. (𝑥+4)2=22 C. (𝑥+8)2=86 D. (𝑥+8)2=38

Question

Which equation is equivalent to the given equation?

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