Multiple choice

The discriminant of the quadratic equation 3√3x2+10x+√3=0 is

  1. 64

  2. 60

  3. 62

  4. 72
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A Correct answer
Explanation

Discriminant D = b^2 - 4ac. Here a = 3*sqrt(3), b = 10, c = sqrt(3). D = 10^2 - 4(3*sqrt(3))(sqrt(3)) = 100 - 4(3*3) = 100 - 36 = 64.

AI explanation

The discriminant of a quadratic equation is calculated using the formula D = b^2 - 4ac. Substituting the given values a = 3 times the square root of 3, b = 10, and c = the square root of 3 into the formula gives 100 minus 4 times 3 times the square root of 3 times the square root of 3. This simplifies to 100 minus 36, so the discriminant is 64.

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