Question

if 1/2 is a root of the equation x2+kx-5/2=0 then find the value of k

Answer 1

Answer:

$k = \frac{ - 11}{2}$

Step-by-step explanation:

${x}^{2} + kx + \frac{5}{2} = 0$

As given, one root is 1/2

$x = \frac{1}{2 }$

So substitute the value of x in above equation

${ (\frac{1}{2} )}^{2} + ( \frac{1}{2} )k + \frac{5}{2} = 0 \\ \frac{1}{4} + \frac{k}{2} + \frac{5}{2} = 0 \\ \frac{1 + 2k + 10}{4} = 0 \\ 2k + 11 = 0 \\ 2k = - 11 \\ k = \frac{ - 11}{2}$

Answer 2

Answer:

k= 9/3

Step-by-step explanation:

hope it is helpful to you...