Question

I need help with this please! Thanks :)

Which of these is the result of completing the square for the expression x^2 + 8x – 30?

Answer 1

To complete the square for the expression x^2 + 8x - 30, follow these steps: 1. Move the constant term (-30) to the right side of the equation. 2. Take half of the coefficient of x (8) and square it to get 16. 3. Factor the perfect square trinomial on the left side. 4. Take the square root of both sides. 5. Solve for x.

Step-by-step explanation:

To complete the square for the expression x^2 + 8x - 30, follow these steps:

1. Move the constant term (-30) to the right side of the equation: x^2 + 8x = 30
2. Take half of the coefficient of x (8) and square it to get 16: x^2 + 8x + 16 = 30 + 16
3. Factor the perfect square trinomial on the left side: (x + 4)^2 = 46
4. Take the square root of both sides: x + 4 = ±√46
5. Solve for x: x = -4 ± √46

So, the result of completing the square for the expression x^2 + 8x - 30 is x = -4 ± √46.

Answer 2

Option 2. That is the best option for this problem