Question

Find the set of the possible values of p for which the equation 3x² + px + 3 = 0 has no real roots.

*Using graphical method or comparing the signs.

Answer 1

Answer:

$delta = {b}^{2} - 4ac = {p}^{2} - 4 \times 3 \times 3 = {p}^{2} - 36$

The equation has no real roots if delta <0

that is -6<p<6