Multiple choice

The roots of the equation, where $\displaystyle a: : \epsilon : : R$ are $\displaystyle x^{2}+ax-4=0$

  1. Real and distinct

  2. Equal

  3. Imaginary

  4. Real
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For x^2 + ax - 4 = 0, the discriminant is a^2 - 4(1)(-4) = a^2 + 16. This is always positive for real a, so the equation has two real and distinct roots.

AI explanation

The discriminant D = a^2 - 4(1)(-4) = a^2 + 16. Since a is a real number, a^2 is always non-negative, which makes the discriminant strictly greater than zero. Therefore, the equation has real and distinct roots.

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