am stuck

[patent gorge]

please help these options are confusing

[calm eagle]

D means Determinant, in this case. Have you seen that concept?

[bronze tundra]

We have a quadratic equation.
The quadratic formula is this:

$\x_{1,2} = \frac{-b \pm \sqrt{b^2 - 4 \cdot a \cdot c}}{2 \cdot a}\$

$\D := b^2 - 4 \cdot a \cdot c$ ...discriminant $\$

$\ \Rightarrow x_{1,2} = \frac{-b \pm \sqrt{D}} {2 \cdot a}\$

You gotta look out for:

D is greater than 0 $\Rightarrow$ 2 real roots$\$
D is equal to 0 $\Rightarrow$ 1 real root (double root)$\$
D is less than 0 $\Rightarrow$ no real roots (complex roots)

[shell gull]

adonhs

[bronze tundra]

So that being said, you need to basically calculate the roots.

[patent gorge]

understood.

[half scaffold]

a) D is less than zero (that is it's negative)

b²-4ac = 4²-(423) = 16-24 = -8