Question

if 1/2 is a root of the equation
${x}^{2} + kx - \frac{5}{4} = 0$
then the value of k is ​

Answer 1

Step-by-step explanation:

GIVEN HERE,

1/2 IS THE ROOT OF

${x}^{2} + kx - \frac{5}{4} = 0$

SO X =1/2

SUBSTITUTING IT,

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

WE GOT IT MATE...