Multiple choice

The value of p for which the roots are real and equal of the following equation $4x^2$ + px + 3 = 0 is p = $\pm4 \sqrt3$

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For real and equal roots, the discriminant D = b^2 - 4ac must be 0. Here, p^2 - 4(4)(3) = 0, so p^2 = 48, which means p = +/- sqrt(48) = +/- 4*sqrt(3).

AI explanation

For the roots to be real and equal, the discriminant of the quadratic equation must be zero, requiring b^2 - 4ac = 0. Substituting the values gives p^2 - 4(4)(3) = 0, which simplifies to p^2 - 48 = 0. Solving this yields p = sqrt(48), which simplifies to p = plus or minus 4*sqrt(3); the statement is true.

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