Question

if 1/2 is a root of an equation x^2 +kx - 5/4 then find k​

Answer 1

p(x)=x²+ kx- 5

4

p(1)=(1)²+k(1)-5

( 2)=(2). (2) 4

0=1+1k-5

4. 2. 4

1k=1-5

2. 4

k=-4×2

4

k=-2

Value of k=-2