Multiple choice

The discriminant of the quadratic equation: 9x2 + 12x + 4 = 0, is

  1. 0

  2. 2

  3. 6

  4. 9

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A Correct answer
Explanation

Discriminant D = b^2 - 4ac = 12^2 - 4(9)(4) = 144 - 144 = 0.

AI explanation

The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by the formula b^2 - 4ac. For the equation 9x^2 + 12x + 4 = 0, we substitute a = 9, b = 12, and c = 4 into the formula. This gives (12)^2 - 4(9)(4), which equals 144 - 144. The discriminant is 0.