Find the discriminant and determine the number of real roots for each equation. Show steps. -3p^2 - 2p = 0

Which shows the pre image of triangle xyz

Which values of p and q result in an equation with exactly one solution? px-43=-42x+q choose all answers that apply: a) p=-43 and q=-43 b) p=42 and q=43 c) p=43 and q=−42 d) p=42 and q=42

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.