Question

if 1/2 is the root of the quadratic equation x²-kx-5/4=0​

Answer 1

Answer:

To find the value of k

Let f(x) = x²-kx-5/4

Since 1/2 is a root of f(x)

so, f(1/2)= 0

substituting 1/2 in place of x

$\frac{1}{2}^{2} - \frac{1}{2} k - \frac{5}{4} = 0 \\ \frac{1}{4} - \frac{1}{2} k - \frac{5}{4} = 0 \\ - \frac{ 1}{2}k - 1 = 0 \\ k = 2$

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