Question

Find the value of k for which the roots of the quadratic equation 5x² – 10x + k = 0 are real and equal.

Answer 1

5x² – 10x + k = 0

For real and equal roots b² – 4ac = 0

Where a = 5, b = – 10 and c = k

(– 10)² – 4(5)(k) = 0

k = `100/20` = 5

∴ k = 5