Question

Write the discriminant of the following quadratic equations:

x² – 2x + k = 0, k ∈ R

Answer 1

We have been given, x² - 2x + k = 0

Now we also know that for an equation ax² + bx + c = 0, the discriminant is given by the following equation:

D = b² - 4ac

Now, according to the equation given to us, we have, a = 1, b = -2 and c = k.

Therefore, the discriminant is given as,

D = (-2)² - 4(1)(k)

= 4 - 4k

Therefore, the discriminant of the equation is 4 - 4k.