Multiple choice

Find the discriminant for the given quadratic equation: $4x^2\,-\,kx\,+\,2\,=\,0$

  1. $k^2\,-\,21$
  2. $k^2\,-\,24$
  3. $k^2\,-\,28$
  4. $k^2\,-\,32$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For a quadratic equation ax^2 + bx + c = 0, the discriminant is b^2 - 4ac. Here, a=4, b=-k, c=2. Discriminant = (-k)^2 - 4(4)(2) = k^2 - 32.

AI explanation

The discriminant of a quadratic equation is found using the formula D = b^2 - 4ac. For the equation 4x^2 - kx + 2 = 0, the coefficients are a = 4, b = -k, and c = 2. Substituting these values into the formula gives D = (-k)^2 - 4(4)(2), which simplifies to k^2 - 32.

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