Answer: -1 ± <em>i</em>√35
⁻⁻⁻⁻⁻⁻⁻⁻
6
Step-by-step explanation:
From the quadratic equation,
X = -b ±√b² - 4ac
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
2a
From the given equation, -3x² - x - 3 = 0
where a = -3, b = -1, c = -3
Now substitute for the values in the formula above
x = -(-1) ± √(-1)² - 4(-3)(-3)
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
2(-3)
x = 1 ± √ 1 - 36
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
-6
x = 1 ± √ -35
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
-6
x = -1 ± <em>i√35 this is because it has a negative root.</em>
<em> ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻</em>
<em> 6</em>
<em> The answer is b</em>