Question

Consider the quadratic equation 9x2−12x+4=09x2−12x+4=0.

A: What is the discriminant of the quadratic equation?

B: Based on the discriminant, which statement about the number and type of solutions to the equation is correct?

Select one answer for question A, and select one answer for question B.

 B: The equation has two real solutions.

 A: −180−180

 B: The equation has one repeated real solution.

 A: −108−108

 B: The equation has two complex solutions.

 A: 00

 A: 108

Answer 1

9x² - 12x + 4 = 0

(3x - 2)² = 0

3x - 2 = 0

3x = 2

x =
`(2)/(3)`

There is 1 REAL DOUBLE ROOT

Discriminant: b² - 4ac

= (-12)² - 4(9)(4)

= 144 - 144

= 0

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A = 0

B = The equation has one repeated real solution.