If c > 0 and 4a + c < 2b, then ax² $$-$$ bx + c = 0 has a root in which one of the following intervals?

Read the following information carefully and answer the questions given below.

Let $$\alpha$$ and $$\beta$$ ($$\alpha$$ < $$\beta$$) be the roots of the equation x² + bx + c = 0, where b > 0 and c < 0.

Consider the following

1. $$\beta$$ < $$-$$ $$\alpha$$

2. $$\beta$$ < | $$\alpha$$ |

Which of the above is/are correct?

Read the following information carefully and answer the questions given below.

Let $$\alpha$$ and $$\beta$$ ($$\alpha$$ < $$\beta$$) be the roots of the equation x² + bx + c = 0, where b > 0 and c < 0.

Consider the following

1. $$\alpha$$ + $$\beta$$ + $$\alpha$$$$\beta$$ > 0

2. $$\alpha$$²$$\beta$$ + $$\beta$$²$$\alpha$$ > 0

Which of the above is/are correct?

If x² $$-$$ px + 4 > 0 for all real values of x, then which one of the following is correct?