Question

The roots of x 2 - 2x - 2 = 0 are

Answer 1

-2X=O

X=0

THE ANSWER IS X=0

Answer 2

Answer:

The roots of the given equation are $1+\sqrt{3}$ and $1-\sqrt{3}$.

Step-by-step explanation:

If a quadratic equation is defined as

$ax^2+bx+c=0$

then according to the quadratic formula the roots of the function are

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

The given equation is

$x^2-2x-2=0$

Here, a=1,b=-2 and c=-2.

Using quadratic formula we get,

$x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-2)}}{2(1)}$

$x=\frac{2\pm \sqrt{4+8}}{2}$

$x=\frac{2\pm \sqrt{12}}{2}$

$x=\frac{2\pm 2\sqrt{3}}{2}$

$x=1\pm \sqrt{3}$

Therefore the roots of the given equation are $1+\sqrt{3}$ and $1-\sqrt{3}$.