Answer:
The correct answer is A. 1 +/- i √31/2
Explanation:
Let's use the quadratic formula to solve the equation:
x² - x + 8 = 0
Let's recall that the quadratic equation is:
x = (-b +/- √(b² - 4ac))/2a
In the equation, a = 1, b = -1, c = 8.
Replacing with the real values, we have:
x = (-b +/- √(b² - 4ac))/2a
x = (- (-1) +/- √(-1² - 4 (-1) (8)))/2(1)
x = (1 +/- √( 1 - 32)/2
x = (1 +/- √( - 31)/2
x = (1 +/- √( -1 * 31)/2
Let's recall that √ -1 = i
x = 1 +/- i √ 31/2
The correct answer is A. 1 +/- i √31/2