Question

Find all values of k for which the equation 3x2−4x+k=0 has no solutions.

This should be an inequality.

Answer 1

k>4/3

Explanation:

The given quadratic equation is:

3x^2 - 4x + k = 0

To find, the value of k = ?

you use

Discriminant, D = - 4ac

= - 4(3)(k)

= 16 - 12k

The condition of no solutions.

D < 0

16 - 12k < 0

16<12k

4/3<k

⇒ k>4/3