Question

Write the discriminant of the following quadratic equations:

4x² - 3kx + 1 = 0

Answer 1

We have been given, 4x² - 3kx + 1 = 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 = 4, b = -3k and c = 1.

Therefore, the discriminant is given as,

D = (-3k)² - 4(4)(1)

= 9k² - 16

Therefore, the discriminant of the equation is 9k² - 16.