Solve the quadratic equation by completing the square: x^2+2x-2=0

x = √3 - 1 and x = -√3 - 1

Step-by-step explanation:

x^2  +2x - 2 = 0

To solve this equation, keep the variables on one side and constants on the other

x^2 + 2x = 2

Now to complete the square, divide the coefficient of x by 2:

2x ---> coefficient of x is 2

so 2/2 = 1

Now add the square of 1 to both the sides of the equation:

x^2 + 2x + (1)^2 = 2 + (1)^2

which makes it

(x + 1)^2 = 3

To solve it, take square root of both sides which gives

x = √3 - 1 and x = -√3 - 1

ANSWER

or

EXPLANATION

To complete the square for .

We rewrite the equation to get

.

We now add to both sides to get

.

The expression on the Left Hand Side of the equation is a perfect square.

So our equation becomes

This gives us,

We take square root of both sides to obtain,

We split the to obtain,

or

step-by-step explanation:

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