Question

Use the discriminant to determine the nature of the roots of x2 – 3x + 3 = 0. last question please help.

Answer 1

The discriminant is:
\[b^{2}-4ac\]
If this number is greater than 0, then you have 2 real roots.
If equal to 0, you have one double root (two roots that are equal)
If less than zero, you have 2 imaginary roots
Using your numbers: a = 1, b = -3, and c = 3\[b^{2} -4ac = (-3)^{2} -4(1)(3) = 9- 12=-3 \]
Since the discriminant is less than 0, we have 2 imaginary roots.