Consider only the discriminant, b2-4ac, to determine whether one real-number solution, two different real-number solutions, or two
different imaginary-number solutions exist.
4x² - 12x+9=0
A.One real solution
B.Two different imaginary-number solutions
C.Two different real-number solutions

Respuesta :

Answer:

A. One real solution

Step-by-step explanation:

The discriminant is used to find the number of real solutions to a quadratic equation.

If the discriminant is greater than 0, there are two real solutions.

If the discriminant is equal to 0, there is one real solution.

If the discriminant is less than 0, there are no real solutions.

All quadratic equations have the format:

ax^2+bx+c

Therefore our values for a, b and c are the following:

a = 4

b = -12

c = 9

Therefore the discriminant is:

(-12)^2-4(4)(9)

144-144 = 0

The discriminant is equal to 0, so there is one real solution (Option A).

Hope this helped!