Question

Determine k so that the equation 4x² + kx + 1 = 0 will have just one real solution?

Options

• 3

• 4

• 5

• 6

Answer 1

4

Explanation:

Let K = 4, 4x² + 4x + 1 = 0

4x² + 2x + 2x + 1 = 0

2x(2x + 1) + 1(2x + 1) = 0

∴ (2x + 1)² = 0, we get, x = `- 1/2` is just one real solution.