Question

Examine the quadratic equation 9x^2+12x +4= 0.

A: What is the discriminant of the quadratic equation?
B: Based on the discriminant, how many roots does the equation have?
C: State whether the root(s) are real or complex.

Answer 1

See answers and explanations

Explanation:

A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0

B) Since the discriminant is 0, this means the equation only has one root.

C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)