Question

If 1/2 is aroot of the equation 4x²+4kx-5=0, then find the value of k

Answer 1

$f(x) = 4 {x}^{2} + 4kx - 5 \\ given \: f( \frac{1}{2} ) = 0 \\ 4 { (\frac{1}{2} )}^{2} + 4k( \frac{1}{2} ) - 5 = 0 \\ = > 2k - 4 = 0 \\ = > k = 2$
hope it helps