Question

What is the value of k, if 1/2 is a root of equation x² + kx-5/4=0?​

Answer 1

Answer:

What is the value of k, if 1/2 is a root of equation x² + kx-5/4=0?

Step-by-step explanation:

p(x)=x² + kx-5/4

g(x)=1/2

According to the factor theorem:-

p(x)=x² + kx-5/4=0

p(1/2)=(1/2)²+k(1/2)-5/4=0

1/4+k/2-5/4=0

-4/4+k/2=0

-1+k/2=0

k/2=1

k=2×1

k=2