Multiple choice

The discriminant of the given quadratic equation ${ x }^{ 2 }-4x+a=0$ is $16-4a$

  1. True

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

For ax^2 + bx + c = 0, discriminant D = b^2 - 4ac. Here a=1, b=-4, c=a. D = (-4)^2 - 4(1)(a) = 16 - 4a.

AI explanation

The discriminant of a quadratic equation in the form ax^2 + bx + c = 0 is calculated using the formula D = b^2 - 4ac. For the equation x^2 - 4x + a = 0, the coefficients are a = 1, b = -4, and c = a. Substituting these values gives the discriminant as (-4)^2 - 4(1)(a), which simplifies exactly to 16 - 4a.

Keep practicing — related questions