Complete the square to solve the following quadratic equation: x2+4x−6=2. Is the following correct: x=−2+23-√, −2−23-√?

Answer 1

To solve the quadratic equation x^2 + 4x - 6 = 2 by completing the square, we need to bring the constant term to the right side of the equation:

x^2 + 4x - 8 = 0

Now we can complete the square by adding (4/2)^2 = 4 to both sides:

x^2 + 4x - 8 + 4 = 4

Simplifying:

x^2 + 4x - 4 = 4

Next, we can factor the left side of the equation:

(x + 2)(x + 2) = 4

Using the square root property, we can take the square root of both sides:

x + 2 = ±√4

x + 2 = ±2

Now we can solve for x:

x = -2 + 2

x = 0

and

x = -2 - 2

x = -4

So the solutions to the quadratic equation x^2 + 4x - 6 = 2 are x = 0 and x = -4.

The statement x = −2 + 2*√3 and x = −2 - 2*√3 is not correct.