If ½ is a root of the equation x² + kx – 5/4 = 0, then the value of k is
(1)
Given equation: x² + kx – 5/4 = 0. Since ½ is a root,(½)² + k ½ – 5/4 = 0 ⇒ 1/4 + k/2 – 5/4 = 0 ⇒ k/2 – 1 = 0 ⇒ k = 2