Question

If the roots of 2x2 - 6x + k = 0 are real and equal, find k.

Answer 1

The roots of the quadratic equation are real and equal.
   ∴ b² - 4ac = 0
     (-6)² - 4 × 2 × k = 0
                       - 8k = -36
                           `k = 9/2`