To solve the equation x² - 2x - 4 = 0, you can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
where a, b, and c are the coefficients of the quadratic equation:
x² - 2x - 4 = 0
In this case, a = 1, b = -2, and c = -4. Plugging these values into the formula gives:
x = (-(-2) ± √((-2)² - 4(1)(-4))) / (2(1))
= (2 ± √(4 + 16)) / 2
= (2 ± √20) / 2
= 1 ± √5
Therefore, the solutions to the equation x² - 2x - 4 = 0 are x = 1 + √5 and x = 1 - √5.