Question

For the following quadratic equation, determine the nature of the roots. x ^ 2 + 18x + 120 = 0 Answer Real equal rational Real unequal rational, Real unequal irrational, Imaginary ​​

Answer 1

The roots of the quadratic equation x²+18x+120=0 are imaginary.

Step-by-step explanation:

The quadratic equation given is x²+18x+120=0. To determine the nature of the roots, we can calculate the discriminant, which is b²-4ac. For this equation, a=1, b=18, and c=120. Substituting these values into the discriminant formula, we get:

Discriminant = 18² - 4(1)(120) = 324 - 480 = -156

Since the discriminant is negative, the roots of this quadratic equation are imaginary.