Multiple choice

Which of the following quadratic equations has exactly one solution?

  1. 3x2 - 12x + 4 = 0

  2. 2x2 - 4x + 2 = 0

  3. 5x2 - 20x + 5 = 0

  4. 5x2 + 25x + 5 = 0
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A quadratic equation has exactly one solution if the discriminant D = b^2 - 4ac = 0. For B: 2x^2 - 4x + 2 = 0, D = (-4)^2 - 4(2)(2) = 16 - 16 = 0.

AI explanation

A quadratic equation has exactly one solution when its discriminant is zero. For the equation 2x^2 - 4x + 2 = 0, the discriminant is calculated as (-4)^2 - 4 times 2 times 2. This equals 16 minus 16, which is exactly zero. The equation 2x^2 - 4x + 2 = 0 has exactly one solution.

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