Question

Please hurry!! Solve x² - 2x - 2 = 0

O no solutions
0 x = -2
Ox=2+2√3
O x=1+i​

Answer 1

Explanation:

Solve for x over the real numbers:

x^2 - 2 x - 2 = 0

Add 2 to both sides:

x^2 - 2 x = 2

Add 1 to both sides:

x^2 - 2 x + 1 = 3

Write the left hand side as a square:

(x - 1)^2 = 3

Take the square root of both sides:

x - 1 = sqrt(3) or x - 1 = -sqrt(3)

Add 1 to both sides:

x = 1 + sqrt(3) or x - 1 = -sqrt(3)

Add 1 to both sides:

Answer: x = 1 + sqrt(3) or x = 1 - sqrt(3)