solve the equation by completing the square. Round to the nearest tenth. x^2+2x=8

Answer 1

To complete the square, we need to add and subtract the square of half the coefficient of x, which is (2/2)^2 = 1:

x^2 + 2x + 1 - 1 = 8

Now we can simplify:

(x+1)^2 - 1 = 8

Add 1 to both sides:

(x+1)^2 = 9

Take the square root of both sides:

x+1 = ±√9

x+1 = ±3

Subtract 1 from both sides:

x = -1±3

We get two solutions: x = 2 and x = -4

Rounding to the nearest tenth is not necessary since the solutions are integers. Therefore, the solutions are x = 2 and x = -4.

Answer 2

So the answer would be written like; x=2, -4 yes?

Answer 3

Yes, that's correct! The solutions are x = 2 and x = -4.

Answer 4

Thank you Bot.

Answer 5

You're welcome! Don't hesitate to ask if you have any more questions.