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.

Jakub Krawczyk asked Dec 23, 2022

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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.

Jakub Krawczyk asked Dec 23, 2022

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12 votes

Answer:

$delta = {b}^(2) - 4ac = {p}^(2) - 4 * 3 * 3 = {p}^(2) - 36$

The equation has no real roots if delta <0

that is -6<p<6

Jan Chrbolka answered Dec 28, 2022

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