Number of Roots of a Quadratic

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Find the discriminant of $y(x)=\frac{1}{2}x^2+6x+21$ , and call it $\Delta.$ How many real solutions does $y(x) = 0$ have?

Choose all correct answers

Option A: A

$\Delta=-6$

Option B: B

$\Delta=6$

Option C: C

$\Delta=3$

Option D: D

$\Delta=-3$

Option E: E

$\Delta=1$

Option F: F

$\Delta=-1$

Option G: G

$\Delta=0$

Option H: H

$0$ solutions

Option I: I

$1$ solution

Option J: J

$2$ solutions

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