can i get help please i have needed some forever

Question

Identify the number and type of solutions for the equation 9x² − 12x + 4 = 0.

A.) 1 nonreal complex

B.) 1 real

C.) 2 nonreal complex

D.) 2 real

Please give and only give the explanation and the solution.

Answer 1

To solve this type of problem, you need to evaluate the discriminant, which is the expression under the square root in the quadratic formula:

b² - 4ac

Your equation is 9x² - 12x + 4, so a = 9, b = -12, and c = 4. Plug those values into the discriminant and compute the value:

1. If the discriminant > 0, then there are two real solutions to the equation
2. If the discriminant = 0, then there is one real solution to the equation
3. If the discriminant < 0, then there are two complex (nonreal) solutions

That's it.